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Finding the Fourth Proportional to 2,445.30, 3,375 and 1,658.88

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Solution

The fourth proportional to 2,445.30, 3,375 and 1,658.88 is: 2,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.30 : 3,375 = 1,658.88 : x
  2. Step 2: Convert to fraction form
    2,445.30/3,375 = 1,658.88/x
  3. Step 3: Cross multiply
    2,445.30x = 3,375 × 1,658.88
  4. Step 4: Simplify right side
    2,445.30x = 5,598,720
  5. Step 5: Solve for x
    x = 5,598,720/2,445.30
  6. Step 6: Final answer
    x = 2,289.58

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1.5x scale

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.