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Finding the Fourth Proportional to 5,648.39, 8,470.80 and 5,279.86

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Solution

The fourth proportional to 5,648.39, 8,470.80 and 5,279.86 is: 7,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.39 : 8,470.80 = 5,279.86 : x
  2. Step 2: Convert to fraction form
    5,648.39/8,470.80 = 5,279.86/x
  3. Step 3: Cross multiply
    5,648.39x = 8,470.80 × 5,279.86
  4. Step 4: Simplify right side
    5,648.39x = 44,724,595.73
  5. Step 5: Solve for x
    x = 44,724,595.73/5,648.39
  6. Step 6: Final answer
    x = 7,918.11

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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.