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Finding the Fourth Proportional to 15,685.20, 23,566.20 and 11,797.20

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Solution

The fourth proportional to 15,685.20, 23,566.20 and 11,797.20 is: 17,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,685.20 : 23,566.20 = 11,797.20 : x
  2. Step 2: Convert to fraction form
    15,685.20/23,566.20 = 11,797.20/x
  3. Step 3: Cross multiply
    15,685.20x = 23,566.20 × 11,797.20
  4. Step 4: Simplify right side
    15,685.20x = 278,015,174.64
  5. Step 5: Solve for x
    x = 278,015,174.64/15,685.20
  6. Step 6: Final answer
    x = 17,724.68

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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.