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Finding the Fourth Proportional to 8,513.40, 12,762.99 and 3,766.14

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Solution

The fourth proportional to 8,513.40, 12,762.99 and 3,766.14 is: 5,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,513.40 : 12,762.99 = 3,766.14 : x
  2. Step 2: Convert to fraction form
    8,513.40/12,762.99 = 3,766.14/x
  3. Step 3: Cross multiply
    8,513.40x = 12,762.99 × 3,766.14
  4. Step 4: Simplify right side
    8,513.40x = 48,067,207.16
  5. Step 5: Solve for x
    x = 48,067,207.16/8,513.40
  6. Step 6: Final answer
    x = 5,646.06

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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.