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Finding the Fourth Proportional to 1,937.28, 2,908.80 and 966.72

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Solution

The fourth proportional to 1,937.28, 2,908.80 and 966.72 is: 1,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.28 : 2,908.80 = 966.72 : x
  2. Step 2: Convert to fraction form
    1,937.28/2,908.80 = 966.72/x
  3. Step 3: Cross multiply
    1,937.28x = 2,908.80 × 966.72
  4. Step 4: Simplify right side
    1,937.28x = 2,811,995.14
  5. Step 5: Solve for x
    x = 2,811,995.14/1,937.28
  6. Step 6: Final answer
    x = 1,451.52

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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.