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Finding the Fourth Proportional to 6,169.43, 9,255.63 and 1,787.20

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Solution

The fourth proportional to 6,169.43, 9,255.63 and 1,787.20 is: 2,681.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.43 : 9,255.63 = 1,787.20 : x
  2. Step 2: Convert to fraction form
    6,169.43/9,255.63 = 1,787.20/x
  3. Step 3: Cross multiply
    6,169.43x = 9,255.63 × 1,787.20
  4. Step 4: Simplify right side
    6,169.43x = 16,541,661.94
  5. Step 5: Solve for x
    x = 16,541,661.94/6,169.43
  6. Step 6: Final answer
    x = 2,681.23

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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.