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Finding the Fourth Proportional to 27,648, 38,154.24 and 17,712

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Solution

The fourth proportional to 27,648, 38,154.24 and 17,712 is: 24,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648 : 38,154.24 = 17,712 : x
  2. Step 2: Convert to fraction form
    27,648/38,154.24 = 17,712/x
  3. Step 3: Cross multiply
    27,648x = 38,154.24 × 17,712
  4. Step 4: Simplify right side
    27,648x = 675,787,898.88
  5. Step 5: Solve for x
    x = 675,787,898.88/27,648
  6. Step 6: Final answer
    x = 24,442.56

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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.