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Finding the Fourth Proportional to 17,209.60, 25,792.80 and 12,587.20

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Solution

The fourth proportional to 17,209.60, 25,792.80 and 12,587.20 is: 18,865.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,209.60 : 25,792.80 = 12,587.20 : x
  2. Step 2: Convert to fraction form
    17,209.60/25,792.80 = 12,587.20/x
  3. Step 3: Cross multiply
    17,209.60x = 25,792.80 × 12,587.20
  4. Step 4: Simplify right side
    17,209.60x = 324,659,132.16
  5. Step 5: Solve for x
    x = 324,659,132.16/17,209.60
  6. Step 6: Final answer
    x = 18,865.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.