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Finding the Fourth Proportional to 7,301.40, 10,081.50 and 5,620.20

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Solution

The fourth proportional to 7,301.40, 10,081.50 and 5,620.20 is: 7,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.40 : 10,081.50 = 5,620.20 : x
  2. Step 2: Convert to fraction form
    7,301.40/10,081.50 = 5,620.20/x
  3. Step 3: Cross multiply
    7,301.40x = 10,081.50 × 5,620.20
  4. Step 4: Simplify right side
    7,301.40x = 56,660,046.30
  5. Step 5: Solve for x
    x = 56,660,046.30/7,301.40
  6. Step 6: Final answer
    x = 7,760.16

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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.