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Finding the Fourth Proportional to 3,146.23, 4,719.32 and 837.73

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Solution

The fourth proportional to 3,146.23, 4,719.32 and 837.73 is: 1,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.23 : 4,719.32 = 837.73 : x
  2. Step 2: Convert to fraction form
    3,146.23/4,719.32 = 837.73/x
  3. Step 3: Cross multiply
    3,146.23x = 4,719.32 × 837.73
  4. Step 4: Simplify right side
    3,146.23x = 3,953,511.75
  5. Step 5: Solve for x
    x = 3,953,511.75/3,146.23
  6. Step 6: Final answer
    x = 1,256.59

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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.