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Finding the Fourth Proportional to 8,605.12, 12,909.48 and 2,681.86

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Solution

The fourth proportional to 8,605.12, 12,909.48 and 2,681.86 is: 4,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.12 : 12,909.48 = 2,681.86 : x
  2. Step 2: Convert to fraction form
    8,605.12/12,909.48 = 2,681.86/x
  3. Step 3: Cross multiply
    8,605.12x = 12,909.48 × 2,681.86
  4. Step 4: Simplify right side
    8,605.12x = 34,621,418.03
  5. Step 5: Solve for x
    x = 34,621,418.03/8,605.12
  6. Step 6: Final answer
    x = 4,023.35

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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.