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Finding the Fourth Proportional to 9,656.38, 13,318.92 and 8,862.26

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Solution

The fourth proportional to 9,656.38, 13,318.92 and 8,862.26 is: 12,223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.38 : 13,318.92 = 8,862.26 : x
  2. Step 2: Convert to fraction form
    9,656.38/13,318.92 = 8,862.26/x
  3. Step 3: Cross multiply
    9,656.38x = 13,318.92 × 8,862.26
  4. Step 4: Simplify right side
    9,656.38x = 118,035,773.61
  5. Step 5: Solve for x
    x = 118,035,773.61/9,656.38
  6. Step 6: Final answer
    x = 12,223.60

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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.