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Finding the Fourth Proportional to 5,344.40, 8,000.40 and 4,761.20

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Solution

The fourth proportional to 5,344.40, 8,000.40 and 4,761.20 is: 7,127.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.40 : 8,000.40 = 4,761.20 : x
  2. Step 2: Convert to fraction form
    5,344.40/8,000.40 = 4,761.20/x
  3. Step 3: Cross multiply
    5,344.40x = 8,000.40 × 4,761.20
  4. Step 4: Simplify right side
    5,344.40x = 38,091,504.48
  5. Step 5: Solve for x
    x = 38,091,504.48/5,344.40
  6. Step 6: Final answer
    x = 7,127.37

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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.