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Finding the Fourth Proportional to 8,407.87, 12,610.99 and 2,564.53

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Solution

The fourth proportional to 8,407.87, 12,610.99 and 2,564.53 is: 3,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.87 : 12,610.99 = 2,564.53 : x
  2. Step 2: Convert to fraction form
    8,407.87/12,610.99 = 2,564.53/x
  3. Step 3: Cross multiply
    8,407.87x = 12,610.99 × 2,564.53
  4. Step 4: Simplify right side
    8,407.87x = 32,341,262.18
  5. Step 5: Solve for x
    x = 32,341,262.18/8,407.87
  6. Step 6: Final answer
    x = 3,846.55

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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.