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Finding the Fourth Proportional to 9,265, 12,785.76 and 5,286.07

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Solution

The fourth proportional to 9,265, 12,785.76 and 5,286.07 is: 7,294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265 : 12,785.76 = 5,286.07 : x
  2. Step 2: Convert to fraction form
    9,265/12,785.76 = 5,286.07/x
  3. Step 3: Cross multiply
    9,265x = 12,785.76 × 5,286.07
  4. Step 4: Simplify right side
    9,265x = 67,586,422.36
  5. Step 5: Solve for x
    x = 67,586,422.36/9,265
  6. Step 6: Final answer
    x = 7,294.81

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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.