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Finding the Fourth Proportional to 29,114, 40,177.32 and 15,866

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Solution

The fourth proportional to 29,114, 40,177.32 and 15,866 is: 21,895.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,114 : 40,177.32 = 15,866 : x
  2. Step 2: Convert to fraction form
    29,114/40,177.32 = 15,866/x
  3. Step 3: Cross multiply
    29,114x = 40,177.32 × 15,866
  4. Step 4: Simplify right side
    29,114x = 637,453,359.12
  5. Step 5: Solve for x
    x = 637,453,359.12/29,114
  6. Step 6: Final answer
    x = 21,895.08

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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.