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Finding the Fourth Proportional to 9,691.74, 13,367.29 and 8,349.63

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Solution

The fourth proportional to 9,691.74, 13,367.29 and 8,349.63 is: 11,516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.74 : 13,367.29 = 8,349.63 : x
  2. Step 2: Convert to fraction form
    9,691.74/13,367.29 = 8,349.63/x
  3. Step 3: Cross multiply
    9,691.74x = 13,367.29 × 8,349.63
  4. Step 4: Simplify right side
    9,691.74x = 111,611,925.60
  5. Step 5: Solve for x
    x = 111,611,925.60/9,691.74
  6. Step 6: Final answer
    x = 11,516.19

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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.