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Finding the Fourth Proportional to 15,815.20, 23,722.80 and 8,816.80

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Solution

The fourth proportional to 15,815.20, 23,722.80 and 8,816.80 is: 13,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.20 : 23,722.80 = 8,816.80 : x
  2. Step 2: Convert to fraction form
    15,815.20/23,722.80 = 8,816.80/x
  3. Step 3: Cross multiply
    15,815.20x = 23,722.80 × 8,816.80
  4. Step 4: Simplify right side
    15,815.20x = 209,159,183.04
  5. Step 5: Solve for x
    x = 209,159,183.04/15,815.20
  6. Step 6: Final answer
    x = 13,225.20

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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.