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Finding the Fourth Proportional to 24,000.10, 36,000.15 and 20,500.90

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Solution

The fourth proportional to 24,000.10, 36,000.15 and 20,500.90 is: 30,751.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000.10 : 36,000.15 = 20,500.90 : x
  2. Step 2: Convert to fraction form
    24,000.10/36,000.15 = 20,500.90/x
  3. Step 3: Cross multiply
    24,000.10x = 36,000.15 × 20,500.90
  4. Step 4: Simplify right side
    24,000.10x = 738,035,475.14
  5. Step 5: Solve for x
    x = 738,035,475.14/24,000.10
  6. Step 6: Final answer
    x = 30,751.35

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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.