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Finding the Fourth Proportional to 7,231.14, 9,978.39 and 4,247.10

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Solution

The fourth proportional to 7,231.14, 9,978.39 and 4,247.10 is: 5,860.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.14 : 9,978.39 = 4,247.10 : x
  2. Step 2: Convert to fraction form
    7,231.14/9,978.39 = 4,247.10/x
  3. Step 3: Cross multiply
    7,231.14x = 9,978.39 × 4,247.10
  4. Step 4: Simplify right side
    7,231.14x = 42,379,220.17
  5. Step 5: Solve for x
    x = 42,379,220.17/7,231.14
  6. Step 6: Final answer
    x = 5,860.66

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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.