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Finding the Fourth Proportional to 10,871.80, 15,009.70 and 10,201.66

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Solution

The fourth proportional to 10,871.80, 15,009.70 and 10,201.66 is: 14,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.80 : 15,009.70 = 10,201.66 : x
  2. Step 2: Convert to fraction form
    10,871.80/15,009.70 = 10,201.66/x
  3. Step 3: Cross multiply
    10,871.80x = 15,009.70 × 10,201.66
  4. Step 4: Simplify right side
    10,871.80x = 153,123,781.05
  5. Step 5: Solve for x
    x = 153,123,781.05/10,871.80
  6. Step 6: Final answer
    x = 14,084.50

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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.