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Finding the Fourth Proportional to 2,611.76, 3,604.20 and 1,432.85

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Solution

The fourth proportional to 2,611.76, 3,604.20 and 1,432.85 is: 1,977.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.76 : 3,604.20 = 1,432.85 : x
  2. Step 2: Convert to fraction form
    2,611.76/3,604.20 = 1,432.85/x
  3. Step 3: Cross multiply
    2,611.76x = 3,604.20 × 1,432.85
  4. Step 4: Simplify right side
    2,611.76x = 5,164,259.95
  5. Step 5: Solve for x
    x = 5,164,259.95/2,611.76
  6. Step 6: Final answer
    x = 1,977.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.