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Finding the Fourth Proportional to 8,321.61, 12,484.05 and 2,774.88

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Solution

The fourth proportional to 8,321.61, 12,484.05 and 2,774.88 is: 4,162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.61 : 12,484.05 = 2,774.88 : x
  2. Step 2: Convert to fraction form
    8,321.61/12,484.05 = 2,774.88/x
  3. Step 3: Cross multiply
    8,321.61x = 12,484.05 × 2,774.88
  4. Step 4: Simplify right side
    8,321.61x = 34,641,740.66
  5. Step 5: Solve for x
    x = 34,641,740.66/8,321.61
  6. Step 6: Final answer
    x = 4,162.87

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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.