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Finding the Fourth Proportional to 15,902.25, 21,947.13 and 9,614.63

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Solution

The fourth proportional to 15,902.25, 21,947.13 and 9,614.63 is: 13,269.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.25 : 21,947.13 = 9,614.63 : x
  2. Step 2: Convert to fraction form
    15,902.25/21,947.13 = 9,614.63/x
  3. Step 3: Cross multiply
    15,902.25x = 21,947.13 × 9,614.63
  4. Step 4: Simplify right side
    15,902.25x = 211,013,424.78
  5. Step 5: Solve for x
    x = 211,013,424.78/15,902.25
  6. Step 6: Final answer
    x = 13,269.41

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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.