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Finding the Fourth Proportional to 38,742, 53,463.96 and 21,078

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Solution

The fourth proportional to 38,742, 53,463.96 and 21,078 is: 29,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,742 : 53,463.96 = 21,078 : x
  2. Step 2: Convert to fraction form
    38,742/53,463.96 = 21,078/x
  3. Step 3: Cross multiply
    38,742x = 53,463.96 × 21,078
  4. Step 4: Simplify right side
    38,742x = 1,126,913,348.88
  5. Step 5: Solve for x
    x = 1,126,913,348.88/38,742
  6. Step 6: Final answer
    x = 29,087.64

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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.