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Finding the Fourth Proportional to 3,178.66, 4,386.55 and 1,936.66

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Solution

The fourth proportional to 3,178.66, 4,386.55 and 1,936.66 is: 2,672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.66 : 4,386.55 = 1,936.66 : x
  2. Step 2: Convert to fraction form
    3,178.66/4,386.55 = 1,936.66/x
  3. Step 3: Cross multiply
    3,178.66x = 4,386.55 × 1,936.66
  4. Step 4: Simplify right side
    3,178.66x = 8,495,255.92
  5. Step 5: Solve for x
    x = 8,495,255.92/3,178.66
  6. Step 6: Final answer
    x = 2,672.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.