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Finding the Fourth Proportional to 2,536.50, 3,500.38 and 1,432.50

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Solution

The fourth proportional to 2,536.50, 3,500.38 and 1,432.50 is: 1,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.50 : 3,500.38 = 1,432.50 : x
  2. Step 2: Convert to fraction form
    2,536.50/3,500.38 = 1,432.50/x
  3. Step 3: Cross multiply
    2,536.50x = 3,500.38 × 1,432.50
  4. Step 4: Simplify right side
    2,536.50x = 5,014,294.35
  5. Step 5: Solve for x
    x = 5,014,294.35/2,536.50
  6. Step 6: Final answer
    x = 1,976.86

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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.