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Finding the Fourth Proportional to 15,924.96, 21,974.76 and 9,209.52

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Solution

The fourth proportional to 15,924.96, 21,974.76 and 9,209.52 is: 12,708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,924.96 : 21,974.76 = 9,209.52 : x
  2. Step 2: Convert to fraction form
    15,924.96/21,974.76 = 9,209.52/x
  3. Step 3: Cross multiply
    15,924.96x = 21,974.76 × 9,209.52
  4. Step 4: Simplify right side
    15,924.96x = 202,376,991.72
  5. Step 5: Solve for x
    x = 202,376,991.72/15,924.96
  6. Step 6: Final answer
    x = 12,708.16

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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.