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Finding the Fourth Proportional to 7,224.60, 10,815.78 and 6,532.86

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Solution

The fourth proportional to 7,224.60, 10,815.78 and 6,532.86 is: 9,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.60 : 10,815.78 = 6,532.86 : x
  2. Step 2: Convert to fraction form
    7,224.60/10,815.78 = 6,532.86/x
  3. Step 3: Cross multiply
    7,224.60x = 10,815.78 × 6,532.86
  4. Step 4: Simplify right side
    7,224.60x = 70,657,976.53
  5. Step 5: Solve for x
    x = 70,657,976.53/7,224.60
  6. Step 6: Final answer
    x = 9,780.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.