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Finding the Fourth Proportional to 3,154.68, 4,734.14 and 1,305.77

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Solution

The fourth proportional to 3,154.68, 4,734.14 and 1,305.77 is: 1,959.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.68 : 4,734.14 = 1,305.77 : x
  2. Step 2: Convert to fraction form
    3,154.68/4,734.14 = 1,305.77/x
  3. Step 3: Cross multiply
    3,154.68x = 4,734.14 × 1,305.77
  4. Step 4: Simplify right side
    3,154.68x = 6,181,667.79
  5. Step 5: Solve for x
    x = 6,181,667.79/3,154.68
  6. Step 6: Final answer
    x = 1,959.52

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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.