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Finding the Fourth Proportional to 10,920.78, 15,070.98 and 6,444.12

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Solution

The fourth proportional to 10,920.78, 15,070.98 and 6,444.12 is: 8,893.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.78 : 15,070.98 = 6,444.12 : x
  2. Step 2: Convert to fraction form
    10,920.78/15,070.98 = 6,444.12/x
  3. Step 3: Cross multiply
    10,920.78x = 15,070.98 × 6,444.12
  4. Step 4: Simplify right side
    10,920.78x = 97,119,203.64
  5. Step 5: Solve for x
    x = 97,119,203.64/10,920.78
  6. Step 6: Final answer
    x = 8,893.06

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Half scale
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Double scale
Find fourth proportional to 10,921.78, 15,072.36 and 6,445.12
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.