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Finding the Fourth Proportional to 6,157.62, 8,498.12 and 3,640.55

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Solution

The fourth proportional to 6,157.62, 8,498.12 and 3,640.55 is: 5,024.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.62 : 8,498.12 = 3,640.55 : x
  2. Step 2: Convert to fraction form
    6,157.62/8,498.12 = 3,640.55/x
  3. Step 3: Cross multiply
    6,157.62x = 8,498.12 × 3,640.55
  4. Step 4: Simplify right side
    6,157.62x = 30,937,770.07
  5. Step 5: Solve for x
    x = 30,937,770.07/6,157.62
  6. Step 6: Final answer
    x = 5,024.31

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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.