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Finding the Fourth Proportional to 19,978.76, 27,569.78 and 11,474.90

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Solution

The fourth proportional to 19,978.76, 27,569.78 and 11,474.90 is: 15,834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.76 : 27,569.78 = 11,474.90 : x
  2. Step 2: Convert to fraction form
    19,978.76/27,569.78 = 11,474.90/x
  3. Step 3: Cross multiply
    19,978.76x = 27,569.78 × 11,474.90
  4. Step 4: Simplify right side
    19,978.76x = 316,360,468.52
  5. Step 5: Solve for x
    x = 316,360,468.52/19,978.76
  6. Step 6: Final answer
    x = 15,834.84

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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.