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Finding the Fourth Proportional to 7,073, 9,761.64 and 4,278.52

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Solution

The fourth proportional to 7,073, 9,761.64 and 4,278.52 is: 5,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073 : 9,761.64 = 4,278.52 : x
  2. Step 2: Convert to fraction form
    7,073/9,761.64 = 4,278.52/x
  3. Step 3: Cross multiply
    7,073x = 9,761.64 × 4,278.52
  4. Step 4: Simplify right side
    7,073x = 41,765,371.97
  5. Step 5: Solve for x
    x = 41,765,371.97/7,073
  6. Step 6: Final answer
    x = 5,904.90

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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.