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Finding the Fourth Proportional to 9,478, 13,079.64 and 5,286.16

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Solution

The fourth proportional to 9,478, 13,079.64 and 5,286.16 is: 7,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478 : 13,079.64 = 5,286.16 : x
  2. Step 2: Convert to fraction form
    9,478/13,079.64 = 5,286.16/x
  3. Step 3: Cross multiply
    9,478x = 13,079.64 × 5,286.16
  4. Step 4: Simplify right side
    9,478x = 69,141,069.78
  5. Step 5: Solve for x
    x = 69,141,069.78/9,478
  6. Step 6: Final answer
    x = 7,294.90

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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.