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Finding the Fourth Proportional to 8,328.83, 12,489 and 2,780.18

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Solution

The fourth proportional to 8,328.83, 12,489 and 2,780.18 is: 4,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,328.83 : 12,489 = 2,780.18 : x
  2. Step 2: Convert to fraction form
    8,328.83/12,489 = 2,780.18/x
  3. Step 3: Cross multiply
    8,328.83x = 12,489 × 2,780.18
  4. Step 4: Simplify right side
    8,328.83x = 34,721,668.02
  5. Step 5: Solve for x
    x = 34,721,668.02/8,328.83
  6. Step 6: Final answer
    x = 4,168.85

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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.