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Finding the Fourth Proportional to 2,871.96, 4,307.96 and 1,311.64

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Solution

The fourth proportional to 2,871.96, 4,307.96 and 1,311.64 is: 1,967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.96 : 4,307.96 = 1,311.64 : x
  2. Step 2: Convert to fraction form
    2,871.96/4,307.96 = 1,311.64/x
  3. Step 3: Cross multiply
    2,871.96x = 4,307.96 × 1,311.64
  4. Step 4: Simplify right side
    2,871.96x = 5,650,492.65
  5. Step 5: Solve for x
    x = 5,650,492.65/2,871.96
  6. Step 6: Final answer
    x = 1,967.47

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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.