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Finding the Fourth Proportional to 9,926.16, 13,696.20 and 6,781.20

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Solution

The fourth proportional to 9,926.16, 13,696.20 and 6,781.20 is: 9,356.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.16 : 13,696.20 = 6,781.20 : x
  2. Step 2: Convert to fraction form
    9,926.16/13,696.20 = 6,781.20/x
  3. Step 3: Cross multiply
    9,926.16x = 13,696.20 × 6,781.20
  4. Step 4: Simplify right side
    9,926.16x = 92,876,671.44
  5. Step 5: Solve for x
    x = 92,876,671.44/9,926.16
  6. Step 6: Final answer
    x = 9,356.76

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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.