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Finding the Fourth Proportional to 39,248, 54,162.24 and 21,584

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Solution

The fourth proportional to 39,248, 54,162.24 and 21,584 is: 29,785.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,248 : 54,162.24 = 21,584 : x
  2. Step 2: Convert to fraction form
    39,248/54,162.24 = 21,584/x
  3. Step 3: Cross multiply
    39,248x = 54,162.24 × 21,584
  4. Step 4: Simplify right side
    39,248x = 1,169,037,788.16
  5. Step 5: Solve for x
    x = 1,169,037,788.16/39,248
  6. Step 6: Final answer
    x = 29,785.92

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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.