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Finding the Fourth Proportional to 11,397.90, 15,736.31 and 7,818.85

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Solution

The fourth proportional to 11,397.90, 15,736.31 and 7,818.85 is: 10,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.90 : 15,736.31 = 7,818.85 : x
  2. Step 2: Convert to fraction form
    11,397.90/15,736.31 = 7,818.85/x
  3. Step 3: Cross multiply
    11,397.90x = 15,736.31 × 7,818.85
  4. Step 4: Simplify right side
    11,397.90x = 123,039,768.82
  5. Step 5: Solve for x
    x = 123,039,768.82/11,397.90
  6. Step 6: Final answer
    x = 10,794.95

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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.