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Finding the Fourth Proportional to 7,581.28, 10,386.39 and 7,297.20

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Solution

The fourth proportional to 7,581.28, 10,386.39 and 7,297.20 is: 9,997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.28 : 10,386.39 = 7,297.20 : x
  2. Step 2: Convert to fraction form
    7,581.28/10,386.39 = 7,297.20/x
  3. Step 3: Cross multiply
    7,581.28x = 10,386.39 × 7,297.20
  4. Step 4: Simplify right side
    7,581.28x = 75,791,513.18
  5. Step 5: Solve for x
    x = 75,791,513.18/7,581.28
  6. Step 6: Final answer
    x = 9,997.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.