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Finding the Fourth Proportional to 9,486.74, 13,079.52 and 7,778.95

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Solution

The fourth proportional to 9,486.74, 13,079.52 and 7,778.95 is: 10,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.74 : 13,079.52 = 7,778.95 : x
  2. Step 2: Convert to fraction form
    9,486.74/13,079.52 = 7,778.95/x
  3. Step 3: Cross multiply
    9,486.74x = 13,079.52 × 7,778.95
  4. Step 4: Simplify right side
    9,486.74x = 101,744,928.58
  5. Step 5: Solve for x
    x = 101,744,928.58/9,486.74
  6. Step 6: Final answer
    x = 10,724.97

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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.