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Finding the Fourth Proportional to 2,611.84, 3,604.32 and 1,432.88

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Solution

The fourth proportional to 2,611.84, 3,604.32 and 1,432.88 is: 1,977.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.84 : 3,604.32 = 1,432.88 : x
  2. Step 2: Convert to fraction form
    2,611.84/3,604.32 = 1,432.88/x
  3. Step 3: Cross multiply
    2,611.84x = 3,604.32 × 1,432.88
  4. Step 4: Simplify right side
    2,611.84x = 5,164,558.04
  5. Step 5: Solve for x
    x = 5,164,558.04/2,611.84
  6. Step 6: Final answer
    x = 1,977.36

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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.