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Finding the Fourth Proportional to 3,145.68, 4,713.12 and 2,871.36

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Solution

The fourth proportional to 3,145.68, 4,713.12 and 2,871.36 is: 4,302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.68 : 4,713.12 = 2,871.36 : x
  2. Step 2: Convert to fraction form
    3,145.68/4,713.12 = 2,871.36/x
  3. Step 3: Cross multiply
    3,145.68x = 4,713.12 × 2,871.36
  4. Step 4: Simplify right side
    3,145.68x = 13,533,064.24
  5. Step 5: Solve for x
    x = 13,533,064.24/3,145.68
  6. Step 6: Final answer
    x = 4,302.11

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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.