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Finding the Fourth Proportional to 2,740.86, 4,111.32 and 688.86

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Solution

The fourth proportional to 2,740.86, 4,111.32 and 688.86 is: 1,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.86 : 4,111.32 = 688.86 : x
  2. Step 2: Convert to fraction form
    2,740.86/4,111.32 = 688.86/x
  3. Step 3: Cross multiply
    2,740.86x = 4,111.32 × 688.86
  4. Step 4: Simplify right side
    2,740.86x = 2,832,123.90
  5. Step 5: Solve for x
    x = 2,832,123.90/2,740.86
  6. Step 6: Final answer
    x = 1,033.30

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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.