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Finding the Fourth Proportional to 29,288.40, 40,418 and 15,859.76

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Solution

The fourth proportional to 29,288.40, 40,418 and 15,859.76 is: 21,886.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,288.40 : 40,418 = 15,859.76 : x
  2. Step 2: Convert to fraction form
    29,288.40/40,418 = 15,859.76/x
  3. Step 3: Cross multiply
    29,288.40x = 40,418 × 15,859.76
  4. Step 4: Simplify right side
    29,288.40x = 641,019,779.68
  5. Step 5: Solve for x
    x = 641,019,779.68/29,288.40
  6. Step 6: Final answer
    x = 21,886.47

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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.