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Finding the Fourth Proportional to 7,282, 10,049.16 and 4,138.39

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Solution

The fourth proportional to 7,282, 10,049.16 and 4,138.39 is: 5,710.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282 : 10,049.16 = 4,138.39 : x
  2. Step 2: Convert to fraction form
    7,282/10,049.16 = 4,138.39/x
  3. Step 3: Cross multiply
    7,282x = 10,049.16 × 4,138.39
  4. Step 4: Simplify right side
    7,282x = 41,587,343.25
  5. Step 5: Solve for x
    x = 41,587,343.25/7,282
  6. Step 6: Final answer
    x = 5,710.98

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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.