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Finding the Fourth Proportional to 10,443.64, 14,406.78 and 8,456.44

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Solution

The fourth proportional to 10,443.64, 14,406.78 and 8,456.44 is: 11,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.64 : 14,406.78 = 8,456.44 : x
  2. Step 2: Convert to fraction form
    10,443.64/14,406.78 = 8,456.44/x
  3. Step 3: Cross multiply
    10,443.64x = 14,406.78 × 8,456.44
  4. Step 4: Simplify right side
    10,443.64x = 121,830,070.66
  5. Step 5: Solve for x
    x = 121,830,070.66/10,443.64
  6. Step 6: Final answer
    x = 11,665.48

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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.