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Finding the Fourth Proportional to 5,151.46, 7,727.46 and 1,641.22

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Solution

The fourth proportional to 5,151.46, 7,727.46 and 1,641.22 is: 2,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.46 : 7,727.46 = 1,641.22 : x
  2. Step 2: Convert to fraction form
    5,151.46/7,727.46 = 1,641.22/x
  3. Step 3: Cross multiply
    5,151.46x = 7,727.46 × 1,641.22
  4. Step 4: Simplify right side
    5,151.46x = 12,682,461.90
  5. Step 5: Solve for x
    x = 12,682,461.90/5,151.46
  6. Step 6: Final answer
    x = 2,461.92

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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.