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Finding the Fourth Proportional to 3,146.34, 4,719.60 and 837.84

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Solution

The fourth proportional to 3,146.34, 4,719.60 and 837.84 is: 1,256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.34 : 4,719.60 = 837.84 : x
  2. Step 2: Convert to fraction form
    3,146.34/4,719.60 = 837.84/x
  3. Step 3: Cross multiply
    3,146.34x = 4,719.60 × 837.84
  4. Step 4: Simplify right side
    3,146.34x = 3,954,269.66
  5. Step 5: Solve for x
    x = 3,954,269.66/3,146.34
  6. Step 6: Final answer
    x = 1,256.78

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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.