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Finding the Fourth Proportional to 5,282, 7,288.80 and 2,924

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Solution

The fourth proportional to 5,282, 7,288.80 and 2,924 is: 4,034.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282 : 7,288.80 = 2,924 : x
  2. Step 2: Convert to fraction form
    5,282/7,288.80 = 2,924/x
  3. Step 3: Cross multiply
    5,282x = 7,288.80 × 2,924
  4. Step 4: Simplify right side
    5,282x = 21,312,451.20
  5. Step 5: Solve for x
    x = 21,312,451.20/5,282
  6. Step 6: Final answer
    x = 4,034.92

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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.