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Finding the Fourth Proportional to 38,742, 58,122.72 and 11,040

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Solution

The fourth proportional to 38,742, 58,122.72 and 11,040 is: 16,562.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,742 : 58,122.72 = 11,040 : x
  2. Step 2: Convert to fraction form
    38,742/58,122.72 = 11,040/x
  3. Step 3: Cross multiply
    38,742x = 58,122.72 × 11,040
  4. Step 4: Simplify right side
    38,742x = 641,674,828.80
  5. Step 5: Solve for x
    x = 641,674,828.80/38,742
  6. Step 6: Final answer
    x = 16,562.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.