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Finding the Fourth Proportional to 15,774.20, 23,641.20 and 8,382.20

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Solution

The fourth proportional to 15,774.20, 23,641.20 and 8,382.20 is: 12,562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.20 : 23,641.20 = 8,382.20 : x
  2. Step 2: Convert to fraction form
    15,774.20/23,641.20 = 8,382.20/x
  3. Step 3: Cross multiply
    15,774.20x = 23,641.20 × 8,382.20
  4. Step 4: Simplify right side
    15,774.20x = 198,165,266.64
  5. Step 5: Solve for x
    x = 198,165,266.64/15,774.20
  6. Step 6: Final answer
    x = 12,562.62

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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.