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Finding the Fourth Proportional to 4,376.70, 6,565.05 and 4,311.90

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Solution

The fourth proportional to 4,376.70, 6,565.05 and 4,311.90 is: 6,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,376.70 : 6,565.05 = 4,311.90 : x
  2. Step 2: Convert to fraction form
    4,376.70/6,565.05 = 4,311.90/x
  3. Step 3: Cross multiply
    4,376.70x = 6,565.05 × 4,311.90
  4. Step 4: Simplify right side
    4,376.70x = 28,307,839.10
  5. Step 5: Solve for x
    x = 28,307,839.10/4,376.70
  6. Step 6: Final answer
    x = 6,467.85

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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.