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Finding the Fourth Proportional to 5,815.64, 8,711.14 and 3,613.60

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Solution

The fourth proportional to 5,815.64, 8,711.14 and 3,613.60 is: 5,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.64 : 8,711.14 = 3,613.60 : x
  2. Step 2: Convert to fraction form
    5,815.64/8,711.14 = 3,613.60/x
  3. Step 3: Cross multiply
    5,815.64x = 8,711.14 × 3,613.60
  4. Step 4: Simplify right side
    5,815.64x = 31,478,575.50
  5. Step 5: Solve for x
    x = 31,478,575.50/5,815.64
  6. Step 6: Final answer
    x = 5,412.74

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1.5x scale

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.