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Finding the Fourth Proportional to 5,456, 7,529.28 and 2,972

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Solution

The fourth proportional to 5,456, 7,529.28 and 2,972 is: 4,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456 : 7,529.28 = 2,972 : x
  2. Step 2: Convert to fraction form
    5,456/7,529.28 = 2,972/x
  3. Step 3: Cross multiply
    5,456x = 7,529.28 × 2,972
  4. Step 4: Simplify right side
    5,456x = 22,377,020.16
  5. Step 5: Solve for x
    x = 22,377,020.16/5,456
  6. Step 6: Final answer
    x = 4,101.36

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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.