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Finding the Fourth Proportional to 9,696.79, 13,373.35 and 8,191.74

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Solution

The fourth proportional to 9,696.79, 13,373.35 and 8,191.74 is: 11,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.79 : 13,373.35 = 8,191.74 : x
  2. Step 2: Convert to fraction form
    9,696.79/13,373.35 = 8,191.74/x
  3. Step 3: Cross multiply
    9,696.79x = 13,373.35 × 8,191.74
  4. Step 4: Simplify right side
    9,696.79x = 109,551,006.13
  5. Step 5: Solve for x
    x = 109,551,006.13/9,696.79
  6. Step 6: Final answer
    x = 11,297.66

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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.