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Finding the Fourth Proportional to 3,141.42, 4,712.10 and 1,909.17

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Solution

The fourth proportional to 3,141.42, 4,712.10 and 1,909.17 is: 2,863.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.42 : 4,712.10 = 1,909.17 : x
  2. Step 2: Convert to fraction form
    3,141.42/4,712.10 = 1,909.17/x
  3. Step 3: Cross multiply
    3,141.42x = 4,712.10 × 1,909.17
  4. Step 4: Simplify right side
    3,141.42x = 8,996,199.96
  5. Step 5: Solve for x
    x = 8,996,199.96/3,141.42
  6. Step 6: Final answer
    x = 2,863.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.