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Finding the Fourth Proportional to 3,146.76, 4,722.28 and 1,094.76

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Solution

The fourth proportional to 3,146.76, 4,722.28 and 1,094.76 is: 1,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.76 : 4,722.28 = 1,094.76 : x
  2. Step 2: Convert to fraction form
    3,146.76/4,722.28 = 1,094.76/x
  3. Step 3: Cross multiply
    3,146.76x = 4,722.28 × 1,094.76
  4. Step 4: Simplify right side
    3,146.76x = 5,169,763.25
  5. Step 5: Solve for x
    x = 5,169,763.25/3,146.76
  6. Step 6: Final answer
    x = 1,642.88

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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.