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Finding the Fourth Proportional to 3,178.94, 4,386.94 and 1,781.78

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Solution

The fourth proportional to 3,178.94, 4,386.94 and 1,781.78 is: 2,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.94 : 4,386.94 = 1,781.78 : x
  2. Step 2: Convert to fraction form
    3,178.94/4,386.94 = 1,781.78/x
  3. Step 3: Cross multiply
    3,178.94x = 4,386.94 × 1,781.78
  4. Step 4: Simplify right side
    3,178.94x = 7,816,561.95
  5. Step 5: Solve for x
    x = 7,816,561.95/3,178.94
  6. Step 6: Final answer
    x = 2,458.86

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1.5x scale

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.