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Finding the Fourth Proportional to 9,265.66, 12,785.65 and 5,286

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Solution

The fourth proportional to 9,265.66, 12,785.65 and 5,286 is: 7,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.66 : 12,785.65 = 5,286 : x
  2. Step 2: Convert to fraction form
    9,265.66/12,785.65 = 5,286/x
  3. Step 3: Cross multiply
    9,265.66x = 12,785.65 × 5,286
  4. Step 4: Simplify right side
    9,265.66x = 67,584,932.69
  5. Step 5: Solve for x
    x = 67,584,932.69/9,265.66
  6. Step 6: Final answer
    x = 7,294.13

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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.