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Finding the Fourth Proportional to 21,834.10, 32,751.15 and 20,230.30

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Solution

The fourth proportional to 21,834.10, 32,751.15 and 20,230.30 is: 30,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834.10 : 32,751.15 = 20,230.30 : x
  2. Step 2: Convert to fraction form
    21,834.10/32,751.15 = 20,230.30/x
  3. Step 3: Cross multiply
    21,834.10x = 32,751.15 × 20,230.30
  4. Step 4: Simplify right side
    21,834.10x = 662,565,589.85
  5. Step 5: Solve for x
    x = 662,565,589.85/21,834.10
  6. Step 6: Final answer
    x = 30,345.45

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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.