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Finding the Fourth Proportional to 39,096, 53,952.48 and 21,432

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Solution

The fourth proportional to 39,096, 53,952.48 and 21,432 is: 29,576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,096 : 53,952.48 = 21,432 : x
  2. Step 2: Convert to fraction form
    39,096/53,952.48 = 21,432/x
  3. Step 3: Cross multiply
    39,096x = 53,952.48 × 21,432
  4. Step 4: Simplify right side
    39,096x = 1,156,309,551.36
  5. Step 5: Solve for x
    x = 1,156,309,551.36/39,096
  6. Step 6: Final answer
    x = 29,576.16

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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.