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Finding the Fourth Proportional to 9,955.14, 13,738.14 and 5,478.78

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Solution

The fourth proportional to 9,955.14, 13,738.14 and 5,478.78 is: 7,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,955.14 : 13,738.14 = 5,478.78 : x
  2. Step 2: Convert to fraction form
    9,955.14/13,738.14 = 5,478.78/x
  3. Step 3: Cross multiply
    9,955.14x = 13,738.14 × 5,478.78
  4. Step 4: Simplify right side
    9,955.14x = 75,268,246.67
  5. Step 5: Solve for x
    x = 75,268,246.67/9,955.14
  6. Step 6: Final answer
    x = 7,560.74

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Similar ratio
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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.