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Finding the Fourth Proportional to 39,484, 54,487.92 and 21,820

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Solution

The fourth proportional to 39,484, 54,487.92 and 21,820 is: 30,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,484 : 54,487.92 = 21,820 : x
  2. Step 2: Convert to fraction form
    39,484/54,487.92 = 21,820/x
  3. Step 3: Cross multiply
    39,484x = 54,487.92 × 21,820
  4. Step 4: Simplify right side
    39,484x = 1,188,926,414.40
  5. Step 5: Solve for x
    x = 1,188,926,414.40/39,484
  6. Step 6: Final answer
    x = 30,111.60

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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.