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Finding the Fourth Proportional to 2,148.86, 3,223.40 and 687.90

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Solution

The fourth proportional to 2,148.86, 3,223.40 and 687.90 is: 1,031.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.86 : 3,223.40 = 687.90 : x
  2. Step 2: Convert to fraction form
    2,148.86/3,223.40 = 687.90/x
  3. Step 3: Cross multiply
    2,148.86x = 3,223.40 × 687.90
  4. Step 4: Simplify right side
    2,148.86x = 2,217,376.86
  5. Step 5: Solve for x
    x = 2,217,376.86/2,148.86
  6. Step 6: Final answer
    x = 1,031.89

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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.