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Finding the Fourth Proportional to 2,615.23, 3,922.95 and 667.45

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Solution

The fourth proportional to 2,615.23, 3,922.95 and 667.45 is: 1,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.23 : 3,922.95 = 667.45 : x
  2. Step 2: Convert to fraction form
    2,615.23/3,922.95 = 667.45/x
  3. Step 3: Cross multiply
    2,615.23x = 3,922.95 × 667.45
  4. Step 4: Simplify right side
    2,615.23x = 2,618,372.98
  5. Step 5: Solve for x
    x = 2,618,372.98/2,615.23
  6. Step 6: Final answer
    x = 1,001.20

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1.5x scale

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.