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Finding the Fourth Proportional to 9,607.50, 13,249.22 and 6,246.47

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Solution

The fourth proportional to 9,607.50, 13,249.22 and 6,246.47 is: 8,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.50 : 13,249.22 = 6,246.47 : x
  2. Step 2: Convert to fraction form
    9,607.50/13,249.22 = 6,246.47/x
  3. Step 3: Cross multiply
    9,607.50x = 13,249.22 × 6,246.47
  4. Step 4: Simplify right side
    9,607.50x = 82,760,757.77
  5. Step 5: Solve for x
    x = 82,760,757.77/9,607.50
  6. Step 6: Final answer
    x = 8,614.18

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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.