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Finding the Fourth Proportional to 7,271.20, 10,042.02 and 5,711.20

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Solution

The fourth proportional to 7,271.20, 10,042.02 and 5,711.20 is: 7,887.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.20 : 10,042.02 = 5,711.20 : x
  2. Step 2: Convert to fraction form
    7,271.20/10,042.02 = 5,711.20/x
  3. Step 3: Cross multiply
    7,271.20x = 10,042.02 × 5,711.20
  4. Step 4: Simplify right side
    7,271.20x = 57,351,984.62
  5. Step 5: Solve for x
    x = 57,351,984.62/7,271.20
  6. Step 6: Final answer
    x = 7,887.55

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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.