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Finding the Fourth Proportional to 3,456.55, 5,186.13 and 1,266.78

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Solution

The fourth proportional to 3,456.55, 5,186.13 and 1,266.78 is: 1,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.55 : 5,186.13 = 1,266.78 : x
  2. Step 2: Convert to fraction form
    3,456.55/5,186.13 = 1,266.78/x
  3. Step 3: Cross multiply
    3,456.55x = 5,186.13 × 1,266.78
  4. Step 4: Simplify right side
    3,456.55x = 6,569,685.76
  5. Step 5: Solve for x
    x = 6,569,685.76/3,456.55
  6. Step 6: Final answer
    x = 1,900.65

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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.