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Finding the Fourth Proportional to 5,322.47, 7,983.70 and 1,426.97

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Solution

The fourth proportional to 5,322.47, 7,983.70 and 1,426.97 is: 2,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.47 : 7,983.70 = 1,426.97 : x
  2. Step 2: Convert to fraction form
    5,322.47/7,983.70 = 1,426.97/x
  3. Step 3: Cross multiply
    5,322.47x = 7,983.70 × 1,426.97
  4. Step 4: Simplify right side
    5,322.47x = 11,392,516.78
  5. Step 5: Solve for x
    x = 11,392,516.78/5,322.47
  6. Step 6: Final answer
    x = 2,140.46

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Similar ratio
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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.