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Finding the Fourth Proportional to 3,146.11, 4,719.13 and 837.61

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Solution

The fourth proportional to 3,146.11, 4,719.13 and 837.61 is: 1,256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.11 : 4,719.13 = 837.61 : x
  2. Step 2: Convert to fraction form
    3,146.11/4,719.13 = 837.61/x
  3. Step 3: Cross multiply
    3,146.11x = 4,719.13 × 837.61
  4. Step 4: Simplify right side
    3,146.11x = 3,952,764.79
  5. Step 5: Solve for x
    x = 3,952,764.79/3,146.11
  6. Step 6: Final answer
    x = 1,256.40

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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.