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Finding the Fourth Proportional to 8,538.80, 12,814 and 2,992.08

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Solution

The fourth proportional to 8,538.80, 12,814 and 2,992.08 is: 4,490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.80 : 12,814 = 2,992.08 : x
  2. Step 2: Convert to fraction form
    8,538.80/12,814 = 2,992.08/x
  3. Step 3: Cross multiply
    8,538.80x = 12,814 × 2,992.08
  4. Step 4: Simplify right side
    8,538.80x = 38,340,513.12
  5. Step 5: Solve for x
    x = 38,340,513.12/8,538.80
  6. Step 6: Final answer
    x = 4,490.15

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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.