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Finding the Fourth Proportional to 15,820.40, 23,734.20 and 9,243.20

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Solution

The fourth proportional to 15,820.40, 23,734.20 and 9,243.20 is: 13,866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.40 : 23,734.20 = 9,243.20 : x
  2. Step 2: Convert to fraction form
    15,820.40/23,734.20 = 9,243.20/x
  3. Step 3: Cross multiply
    15,820.40x = 23,734.20 × 9,243.20
  4. Step 4: Simplify right side
    15,820.40x = 219,379,957.44
  5. Step 5: Solve for x
    x = 219,379,957.44/15,820.40
  6. Step 6: Final answer
    x = 13,866.90

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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.