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Finding the Fourth Proportional to 5,742.72, 8,614.20 and 4,292.40

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Solution

The fourth proportional to 5,742.72, 8,614.20 and 4,292.40 is: 6,438.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.72 : 8,614.20 = 4,292.40 : x
  2. Step 2: Convert to fraction form
    5,742.72/8,614.20 = 4,292.40/x
  3. Step 3: Cross multiply
    5,742.72x = 8,614.20 × 4,292.40
  4. Step 4: Simplify right side
    5,742.72x = 36,975,592.08
  5. Step 5: Solve for x
    x = 36,975,592.08/5,742.72
  6. Step 6: Final answer
    x = 6,438.69

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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.