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Finding the Fourth Proportional to 8,515.64, 12,775.90 and 3,582.74

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Solution

The fourth proportional to 8,515.64, 12,775.90 and 3,582.74 is: 5,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.64 : 12,775.90 = 3,582.74 : x
  2. Step 2: Convert to fraction form
    8,515.64/12,775.90 = 3,582.74/x
  3. Step 3: Cross multiply
    8,515.64x = 12,775.90 × 3,582.74
  4. Step 4: Simplify right side
    8,515.64x = 45,772,727.97
  5. Step 5: Solve for x
    x = 45,772,727.97/8,515.64
  6. Step 6: Final answer
    x = 5,375.14

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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.