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Finding the Fourth Proportional to 9,691.83, 13,376.16 and 5,917.17

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Solution

The fourth proportional to 9,691.83, 13,376.16 and 5,917.17 is: 8,166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.83 : 13,376.16 = 5,917.17 : x
  2. Step 2: Convert to fraction form
    9,691.83/13,376.16 = 5,917.17/x
  3. Step 3: Cross multiply
    9,691.83x = 13,376.16 × 5,917.17
  4. Step 4: Simplify right side
    9,691.83x = 79,149,012.67
  5. Step 5: Solve for x
    x = 79,149,012.67/9,691.83
  6. Step 6: Final answer
    x = 8,166.57

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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.