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Finding the Fourth Proportional to 5,686.53, 7,847.16 and 3,168.91

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Solution

The fourth proportional to 5,686.53, 7,847.16 and 3,168.91 is: 4,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.53 : 7,847.16 = 3,168.91 : x
  2. Step 2: Convert to fraction form
    5,686.53/7,847.16 = 3,168.91/x
  3. Step 3: Cross multiply
    5,686.53x = 7,847.16 × 3,168.91
  4. Step 4: Simplify right side
    5,686.53x = 24,866,981.62
  5. Step 5: Solve for x
    x = 24,866,981.62/5,686.53
  6. Step 6: Final answer
    x = 4,372.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.