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Finding the Fourth Proportional to 9,326.68, 12,871.08 and 5,078

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Solution

The fourth proportional to 9,326.68, 12,871.08 and 5,078 is: 7,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.68 : 12,871.08 = 5,078 : x
  2. Step 2: Convert to fraction form
    9,326.68/12,871.08 = 5,078/x
  3. Step 3: Cross multiply
    9,326.68x = 12,871.08 × 5,078
  4. Step 4: Simplify right side
    9,326.68x = 65,359,344.24
  5. Step 5: Solve for x
    x = 65,359,344.24/9,326.68
  6. Step 6: Final answer
    x = 7,007.78

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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.