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Finding the Fourth Proportional to 5,731.90, 8,596.65 and 2,812.30

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Solution

The fourth proportional to 5,731.90, 8,596.65 and 2,812.30 is: 4,217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.90 : 8,596.65 = 2,812.30 : x
  2. Step 2: Convert to fraction form
    5,731.90/8,596.65 = 2,812.30/x
  3. Step 3: Cross multiply
    5,731.90x = 8,596.65 × 2,812.30
  4. Step 4: Simplify right side
    5,731.90x = 24,176,358.80
  5. Step 5: Solve for x
    x = 24,176,358.80/5,731.90
  6. Step 6: Final answer
    x = 4,217.86

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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.