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Finding the Fourth Proportional to 2,148.55, 3,223.05 and 687.37

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Solution

The fourth proportional to 2,148.55, 3,223.05 and 687.37 is: 1,031.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.55 : 3,223.05 = 687.37 : x
  2. Step 2: Convert to fraction form
    2,148.55/3,223.05 = 687.37/x
  3. Step 3: Cross multiply
    2,148.55x = 3,223.05 × 687.37
  4. Step 4: Simplify right side
    2,148.55x = 2,215,427.88
  5. Step 5: Solve for x
    x = 2,215,427.88/2,148.55
  6. Step 6: Final answer
    x = 1,031.13

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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.