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Finding the Fourth Proportional to 15,209.24, 20,972.20 and 9,894.20

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Solution

The fourth proportional to 15,209.24, 20,972.20 and 9,894.20 is: 13,643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,209.24 : 20,972.20 = 9,894.20 : x
  2. Step 2: Convert to fraction form
    15,209.24/20,972.20 = 9,894.20/x
  3. Step 3: Cross multiply
    15,209.24x = 20,972.20 × 9,894.20
  4. Step 4: Simplify right side
    15,209.24x = 207,503,141.24
  5. Step 5: Solve for x
    x = 207,503,141.24/15,209.24
  6. Step 6: Final answer
    x = 13,643.23

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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.