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Finding the Fourth Proportional to 9,656.64, 13,294.56 and 9,164.16

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Solution

The fourth proportional to 9,656.64, 13,294.56 and 9,164.16 is: 12,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.64 : 13,294.56 = 9,164.16 : x
  2. Step 2: Convert to fraction form
    9,656.64/13,294.56 = 9,164.16/x
  3. Step 3: Cross multiply
    9,656.64x = 13,294.56 × 9,164.16
  4. Step 4: Simplify right side
    9,656.64x = 121,833,474.97
  5. Step 5: Solve for x
    x = 121,833,474.97/9,656.64
  6. Step 6: Final answer
    x = 12,616.55

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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.