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Finding the Fourth Proportional to 15,902.28, 21,947.16 and 9,614.64

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Solution

The fourth proportional to 15,902.28, 21,947.16 and 9,614.64 is: 13,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.28 : 21,947.16 = 9,614.64 : x
  2. Step 2: Convert to fraction form
    15,902.28/21,947.16 = 9,614.64/x
  3. Step 3: Cross multiply
    15,902.28x = 21,947.16 × 9,614.64
  4. Step 4: Simplify right side
    15,902.28x = 211,014,042.42
  5. Step 5: Solve for x
    x = 211,014,042.42/15,902.28
  6. Step 6: Final answer
    x = 13,269.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.