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Finding the Fourth Proportional to 2,876.78, 4,311.10 and 1,312.94

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Solution

The fourth proportional to 2,876.78, 4,311.10 and 1,312.94 is: 1,967.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.78 : 4,311.10 = 1,312.94 : x
  2. Step 2: Convert to fraction form
    2,876.78/4,311.10 = 1,312.94/x
  3. Step 3: Cross multiply
    2,876.78x = 4,311.10 × 1,312.94
  4. Step 4: Simplify right side
    2,876.78x = 5,660,215.63
  5. Step 5: Solve for x
    x = 5,660,215.63/2,876.78
  6. Step 6: Final answer
    x = 1,967.55

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1.5x scale

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.