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Finding the Fourth Proportional to 29,488, 40,693.68 and 16,240

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Solution

The fourth proportional to 29,488, 40,693.68 and 16,240 is: 22,411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,488 : 40,693.68 = 16,240 : x
  2. Step 2: Convert to fraction form
    29,488/40,693.68 = 16,240/x
  3. Step 3: Cross multiply
    29,488x = 40,693.68 × 16,240
  4. Step 4: Simplify right side
    29,488x = 660,865,363.20
  5. Step 5: Solve for x
    x = 660,865,363.20/29,488
  6. Step 6: Final answer
    x = 22,411.33

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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.