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Finding the Fourth Proportional to 15,982.40, 23,969.76 and 8,187.20

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Solution

The fourth proportional to 15,982.40, 23,969.76 and 8,187.20 is: 12,278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982.40 : 23,969.76 = 8,187.20 : x
  2. Step 2: Convert to fraction form
    15,982.40/23,969.76 = 8,187.20/x
  3. Step 3: Cross multiply
    15,982.40x = 23,969.76 × 8,187.20
  4. Step 4: Simplify right side
    15,982.40x = 196,245,219.07
  5. Step 5: Solve for x
    x = 196,245,219.07/15,982.40
  6. Step 6: Final answer
    x = 12,278.83

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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.