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Finding the Fourth Proportional to 3,146.61, 4,719.88 and 838.11

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Solution

The fourth proportional to 3,146.61, 4,719.88 and 838.11 is: 1,257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.61 : 4,719.88 = 838.11 : x
  2. Step 2: Convert to fraction form
    3,146.61/4,719.88 = 838.11/x
  3. Step 3: Cross multiply
    3,146.61x = 4,719.88 × 838.11
  4. Step 4: Simplify right side
    3,146.61x = 3,955,750.84
  5. Step 5: Solve for x
    x = 3,955,750.84/3,146.61
  6. Step 6: Final answer
    x = 1,257.15

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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.