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Finding the Fourth Proportional to 4,915.86, 7,382.20 and 3,282.90

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Solution

The fourth proportional to 4,915.86, 7,382.20 and 3,282.90 is: 4,929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,915.86 : 7,382.20 = 3,282.90 : x
  2. Step 2: Convert to fraction form
    4,915.86/7,382.20 = 3,282.90/x
  3. Step 3: Cross multiply
    4,915.86x = 7,382.20 × 3,282.90
  4. Step 4: Simplify right side
    4,915.86x = 24,235,024.38
  5. Step 5: Solve for x
    x = 24,235,024.38/4,915.86
  6. Step 6: Final answer
    x = 4,929.97

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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.