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Finding the Fourth Proportional to 15,913.76, 21,958.54 and 9,198.08

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Solution

The fourth proportional to 15,913.76, 21,958.54 and 9,198.08 is: 12,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913.76 : 21,958.54 = 9,198.08 : x
  2. Step 2: Convert to fraction form
    15,913.76/21,958.54 = 9,198.08/x
  3. Step 3: Cross multiply
    15,913.76x = 21,958.54 × 9,198.08
  4. Step 4: Simplify right side
    15,913.76x = 201,976,361.61
  5. Step 5: Solve for x
    x = 201,976,361.61/15,913.76
  6. Step 6: Final answer
    x = 12,691.94

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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.