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Finding the Fourth Proportional to 29,386, 40,552.68 and 16,138

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Solution

The fourth proportional to 29,386, 40,552.68 and 16,138 is: 22,270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,386 : 40,552.68 = 16,138 : x
  2. Step 2: Convert to fraction form
    29,386/40,552.68 = 16,138/x
  3. Step 3: Cross multiply
    29,386x = 40,552.68 × 16,138
  4. Step 4: Simplify right side
    29,386x = 654,439,149.84
  5. Step 5: Solve for x
    x = 654,439,149.84/29,386
  6. Step 6: Final answer
    x = 22,270.44

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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.