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Finding the Fourth Proportional to 8,382, 12,565.80 and 3,184.24

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Solution

The fourth proportional to 8,382, 12,565.80 and 3,184.24 is: 4,773.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382 : 12,565.80 = 3,184.24 : x
  2. Step 2: Convert to fraction form
    8,382/12,565.80 = 3,184.24/x
  3. Step 3: Cross multiply
    8,382x = 12,565.80 × 3,184.24
  4. Step 4: Simplify right side
    8,382x = 40,012,522.99
  5. Step 5: Solve for x
    x = 40,012,522.99/8,382
  6. Step 6: Final answer
    x = 4,773.62

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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.