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Finding the Fourth Proportional to 15,994.80, 23,981.40 and 8,197.20

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Solution

The fourth proportional to 15,994.80, 23,981.40 and 8,197.20 is: 12,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,994.80 : 23,981.40 = 8,197.20 : x
  2. Step 2: Convert to fraction form
    15,994.80/23,981.40 = 8,197.20/x
  3. Step 3: Cross multiply
    15,994.80x = 23,981.40 × 8,197.20
  4. Step 4: Simplify right side
    15,994.80x = 196,580,332.08
  5. Step 5: Solve for x
    x = 196,580,332.08/15,994.80
  6. Step 6: Final answer
    x = 12,290.27

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1.5x scale

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.