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Finding the Fourth Proportional to 2,094.80, 3,142.80 and 862.49

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Solution

The fourth proportional to 2,094.80, 3,142.80 and 862.49 is: 1,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.80 : 3,142.80 = 862.49 : x
  2. Step 2: Convert to fraction form
    2,094.80/3,142.80 = 862.49/x
  3. Step 3: Cross multiply
    2,094.80x = 3,142.80 × 862.49
  4. Step 4: Simplify right side
    2,094.80x = 2,710,633.57
  5. Step 5: Solve for x
    x = 2,710,633.57/2,094.80
  6. Step 6: Final answer
    x = 1,293.98

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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.