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Finding the Fourth Proportional to 2,611.60, 3,604 and 1,432.68

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Solution

The fourth proportional to 2,611.60, 3,604 and 1,432.68 is: 1,977.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.60 : 3,604 = 1,432.68 : x
  2. Step 2: Convert to fraction form
    2,611.60/3,604 = 1,432.68/x
  3. Step 3: Cross multiply
    2,611.60x = 3,604 × 1,432.68
  4. Step 4: Simplify right side
    2,611.60x = 5,163,378.72
  5. Step 5: Solve for x
    x = 5,163,378.72/2,611.60
  6. Step 6: Final answer
    x = 1,977.09

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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.