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Finding the Fourth Proportional to 10,319, 14,240.76 and 6,070.28

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Solution

The fourth proportional to 10,319, 14,240.76 and 6,070.28 is: 8,377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319 : 14,240.76 = 6,070.28 : x
  2. Step 2: Convert to fraction form
    10,319/14,240.76 = 6,070.28/x
  3. Step 3: Cross multiply
    10,319x = 14,240.76 × 6,070.28
  4. Step 4: Simplify right side
    10,319x = 86,445,400.61
  5. Step 5: Solve for x
    x = 86,445,400.61/10,319
  6. Step 6: Final answer
    x = 8,377.30

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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.