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Finding the Fourth Proportional to 1,425.20, 1,966.77 and 827.65

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Solution

The fourth proportional to 1,425.20, 1,966.77 and 827.65 is: 1,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.20 : 1,966.77 = 827.65 : x
  2. Step 2: Convert to fraction form
    1,425.20/1,966.77 = 827.65/x
  3. Step 3: Cross multiply
    1,425.20x = 1,966.77 × 827.65
  4. Step 4: Simplify right side
    1,425.20x = 1,627,792.27
  5. Step 5: Solve for x
    x = 1,627,792.27/1,425.20
  6. Step 6: Final answer
    x = 1,142.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.