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Finding the Fourth Proportional to 29,306.69, 40,443.19 and 15,878

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Solution

The fourth proportional to 29,306.69, 40,443.19 and 15,878 is: 21,911.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,306.69 : 40,443.19 = 15,878 : x
  2. Step 2: Convert to fraction form
    29,306.69/40,443.19 = 15,878/x
  3. Step 3: Cross multiply
    29,306.69x = 40,443.19 × 15,878
  4. Step 4: Simplify right side
    29,306.69x = 642,156,970.82
  5. Step 5: Solve for x
    x = 642,156,970.82/29,306.69
  6. Step 6: Final answer
    x = 21,911.62

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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.