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Finding the Fourth Proportional to 9,134, 12,599.88 and 6,144.56

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Solution

The fourth proportional to 9,134, 12,599.88 and 6,144.56 is: 8,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134 : 12,599.88 = 6,144.56 : x
  2. Step 2: Convert to fraction form
    9,134/12,599.88 = 6,144.56/x
  3. Step 3: Cross multiply
    9,134x = 12,599.88 × 6,144.56
  4. Step 4: Simplify right side
    9,134x = 77,420,718.65
  5. Step 5: Solve for x
    x = 77,420,718.65/9,134
  6. Step 6: Final answer
    x = 8,476.10

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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.