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Finding the Fourth Proportional to 17,182.80, 25,774.20 and 8,434.80

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Solution

The fourth proportional to 17,182.80, 25,774.20 and 8,434.80 is: 12,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,182.80 : 25,774.20 = 8,434.80 : x
  2. Step 2: Convert to fraction form
    17,182.80/25,774.20 = 8,434.80/x
  3. Step 3: Cross multiply
    17,182.80x = 25,774.20 × 8,434.80
  4. Step 4: Simplify right side
    17,182.80x = 217,400,222.16
  5. Step 5: Solve for x
    x = 217,400,222.16/17,182.80
  6. Step 6: Final answer
    x = 12,652.20

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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.