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Finding the Fourth Proportional to 3,159.68, 4,741.12 and 1,427.92

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Solution

The fourth proportional to 3,159.68, 4,741.12 and 1,427.92 is: 2,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.68 : 4,741.12 = 1,427.92 : x
  2. Step 2: Convert to fraction form
    3,159.68/4,741.12 = 1,427.92/x
  3. Step 3: Cross multiply
    3,159.68x = 4,741.12 × 1,427.92
  4. Step 4: Simplify right side
    3,159.68x = 6,769,940.07
  5. Step 5: Solve for x
    x = 6,769,940.07/3,159.68
  6. Step 6: Final answer
    x = 2,142.60

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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.