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Finding the Fourth Proportional to 39,150, 58,725 and 11,448

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Solution

The fourth proportional to 39,150, 58,725 and 11,448 is: 17,172

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,150 : 58,725 = 11,448 : x
  2. Step 2: Convert to fraction form
    39,150/58,725 = 11,448/x
  3. Step 3: Cross multiply
    39,150x = 58,725 × 11,448
  4. Step 4: Simplify right side
    39,150x = 672,283,800
  5. Step 5: Solve for x
    x = 672,283,800/39,150
  6. Step 6: Final answer
    x = 17,172

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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.