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Finding the Fourth Proportional to 8,543.60, 12,821.88 and 5,763.68

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Solution

The fourth proportional to 8,543.60, 12,821.88 and 5,763.68 is: 8,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.60 : 12,821.88 = 5,763.68 : x
  2. Step 2: Convert to fraction form
    8,543.60/12,821.88 = 5,763.68/x
  3. Step 3: Cross multiply
    8,543.60x = 12,821.88 × 5,763.68
  4. Step 4: Simplify right side
    8,543.60x = 73,901,213.32
  5. Step 5: Solve for x
    x = 73,901,213.32/8,543.60
  6. Step 6: Final answer
    x = 8,649.89

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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.