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Finding the Fourth Proportional to 2,996.48, 4,472.53 and 2,811.80

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Solution

The fourth proportional to 2,996.48, 4,472.53 and 2,811.80 is: 4,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.48 : 4,472.53 = 2,811.80 : x
  2. Step 2: Convert to fraction form
    2,996.48/4,472.53 = 2,811.80/x
  3. Step 3: Cross multiply
    2,996.48x = 4,472.53 × 2,811.80
  4. Step 4: Simplify right side
    2,996.48x = 12,575,859.85
  5. Step 5: Solve for x
    x = 12,575,859.85/2,996.48
  6. Step 6: Final answer
    x = 4,196.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.