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Finding the Fourth Proportional to 7,243.74, 9,985.56 and 5,251.14

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Solution

The fourth proportional to 7,243.74, 9,985.56 and 5,251.14 is: 7,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.74 : 9,985.56 = 5,251.14 : x
  2. Step 2: Convert to fraction form
    7,243.74/9,985.56 = 5,251.14/x
  3. Step 3: Cross multiply
    7,243.74x = 9,985.56 × 5,251.14
  4. Step 4: Simplify right side
    7,243.74x = 52,435,573.54
  5. Step 5: Solve for x
    x = 52,435,573.54/7,243.74
  6. Step 6: Final answer
    x = 7,238.74

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1.5x scale

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.