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Finding the Fourth Proportional to 6,087.52, 9,147.23 and 5,309.47

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Solution

The fourth proportional to 6,087.52, 9,147.23 and 5,309.47 is: 7,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,087.52 : 9,147.23 = 5,309.47 : x
  2. Step 2: Convert to fraction form
    6,087.52/9,147.23 = 5,309.47/x
  3. Step 3: Cross multiply
    6,087.52x = 9,147.23 × 5,309.47
  4. Step 4: Simplify right side
    6,087.52x = 48,566,896.61
  5. Step 5: Solve for x
    x = 48,566,896.61/6,087.52
  6. Step 6: Final answer
    x = 7,978.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.