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Finding the Fourth Proportional to 7,157.70, 9,873.07 and 5,171.17

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Solution

The fourth proportional to 7,157.70, 9,873.07 and 5,171.17 is: 7,132.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.70 : 9,873.07 = 5,171.17 : x
  2. Step 2: Convert to fraction form
    7,157.70/9,873.07 = 5,171.17/x
  3. Step 3: Cross multiply
    7,157.70x = 9,873.07 × 5,171.17
  4. Step 4: Simplify right side
    7,157.70x = 51,055,323.39
  5. Step 5: Solve for x
    x = 51,055,323.39/7,157.70
  6. Step 6: Final answer
    x = 7,132.92

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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.