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Finding the Fourth Proportional to 3,052.92, 4,572.14 and 1,953.88

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Solution

The fourth proportional to 3,052.92, 4,572.14 and 1,953.88 is: 2,926.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.92 : 4,572.14 = 1,953.88 : x
  2. Step 2: Convert to fraction form
    3,052.92/4,572.14 = 1,953.88/x
  3. Step 3: Cross multiply
    3,052.92x = 4,572.14 × 1,953.88
  4. Step 4: Simplify right side
    3,052.92x = 8,933,412.90
  5. Step 5: Solve for x
    x = 8,933,412.90/3,052.92
  6. Step 6: Final answer
    x = 2,926.19

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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.