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Finding the Fourth Proportional to 2,764.96, 4,146.96 and 1,283.74

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Solution

The fourth proportional to 2,764.96, 4,146.96 and 1,283.74 is: 1,925.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.96 : 4,146.96 = 1,283.74 : x
  2. Step 2: Convert to fraction form
    2,764.96/4,146.96 = 1,283.74/x
  3. Step 3: Cross multiply
    2,764.96x = 4,146.96 × 1,283.74
  4. Step 4: Simplify right side
    2,764.96x = 5,323,612.88
  5. Step 5: Solve for x
    x = 5,323,612.88/2,764.96
  6. Step 6: Final answer
    x = 1,925.39

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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.