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Finding the Fourth Proportional to 9,896.75, 13,656.80 and 5,419.78

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Solution

The fourth proportional to 9,896.75, 13,656.80 and 5,419.78 is: 7,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.75 : 13,656.80 = 5,419.78 : x
  2. Step 2: Convert to fraction form
    9,896.75/13,656.80 = 5,419.78/x
  3. Step 3: Cross multiply
    9,896.75x = 13,656.80 × 5,419.78
  4. Step 4: Simplify right side
    9,896.75x = 74,016,830.91
  5. Step 5: Solve for x
    x = 74,016,830.91/9,896.75
  6. Step 6: Final answer
    x = 7,478.90

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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.