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Finding the Fourth Proportional to 3,160.79, 4,742.28 and 1,405.95

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Solution

The fourth proportional to 3,160.79, 4,742.28 and 1,405.95 is: 2,109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.79 : 4,742.28 = 1,405.95 : x
  2. Step 2: Convert to fraction form
    3,160.79/4,742.28 = 1,405.95/x
  3. Step 3: Cross multiply
    3,160.79x = 4,742.28 × 1,405.95
  4. Step 4: Simplify right side
    3,160.79x = 6,667,408.57
  5. Step 5: Solve for x
    x = 6,667,408.57/3,160.79
  6. Step 6: Final answer
    x = 2,109.41

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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.