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Finding the Fourth Proportional to 15,815.20, 23,722.80 and 13,223.20

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Solution

The fourth proportional to 15,815.20, 23,722.80 and 13,223.20 is: 19,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.20 : 23,722.80 = 13,223.20 : x
  2. Step 2: Convert to fraction form
    15,815.20/23,722.80 = 13,223.20/x
  3. Step 3: Cross multiply
    15,815.20x = 23,722.80 × 13,223.20
  4. Step 4: Simplify right side
    15,815.20x = 313,691,328.96
  5. Step 5: Solve for x
    x = 313,691,328.96/15,815.20
  6. Step 6: Final answer
    x = 19,834.80

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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.