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Finding the Fourth Proportional to 18,978.90, 28,463.43 and 5,648.76

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Solution

The fourth proportional to 18,978.90, 28,463.43 and 5,648.76 is: 8,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978.90 : 28,463.43 = 5,648.76 : x
  2. Step 2: Convert to fraction form
    18,978.90/28,463.43 = 5,648.76/x
  3. Step 3: Cross multiply
    18,978.90x = 28,463.43 × 5,648.76
  4. Step 4: Simplify right side
    18,978.90x = 160,783,084.85
  5. Step 5: Solve for x
    x = 160,783,084.85/18,978.90
  6. Step 6: Final answer
    x = 8,471.68

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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.