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Finding the Fourth Proportional to 15,902.80, 21,943.31 and 9,189.32

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Solution

The fourth proportional to 15,902.80, 21,943.31 and 9,189.32 is: 12,679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902.80 : 21,943.31 = 9,189.32 : x
  2. Step 2: Convert to fraction form
    15,902.80/21,943.31 = 9,189.32/x
  3. Step 3: Cross multiply
    15,902.80x = 21,943.31 × 9,189.32
  4. Step 4: Simplify right side
    15,902.80x = 201,643,941.79
  5. Step 5: Solve for x
    x = 201,643,941.79/15,902.80
  6. Step 6: Final answer
    x = 12,679.78

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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.