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Finding the Fourth Proportional to 2,952.72, 4,429.08 and 761.28

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Solution

The fourth proportional to 2,952.72, 4,429.08 and 761.28 is: 1,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.72 : 4,429.08 = 761.28 : x
  2. Step 2: Convert to fraction form
    2,952.72/4,429.08 = 761.28/x
  3. Step 3: Cross multiply
    2,952.72x = 4,429.08 × 761.28
  4. Step 4: Simplify right side
    2,952.72x = 3,371,770.02
  5. Step 5: Solve for x
    x = 3,371,770.02/2,952.72
  6. Step 6: Final answer
    x = 1,141.92

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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.