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Finding the Fourth Proportional to 9,658.26, 13,321.52 and 8,864.16

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Solution

The fourth proportional to 9,658.26, 13,321.52 and 8,864.16 is: 12,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.26 : 13,321.52 = 8,864.16 : x
  2. Step 2: Convert to fraction form
    9,658.26/13,321.52 = 8,864.16/x
  3. Step 3: Cross multiply
    9,658.26x = 13,321.52 × 8,864.16
  4. Step 4: Simplify right side
    9,658.26x = 118,084,084.72
  5. Step 5: Solve for x
    x = 118,084,084.72/9,658.26
  6. Step 6: Final answer
    x = 12,226.23

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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.