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Finding the Fourth Proportional to 5,123.99, 7,680.85 and 1,999.70

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Solution

The fourth proportional to 5,123.99, 7,680.85 and 1,999.70 is: 2,997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.99 : 7,680.85 = 1,999.70 : x
  2. Step 2: Convert to fraction form
    5,123.99/7,680.85 = 1,999.70/x
  3. Step 3: Cross multiply
    5,123.99x = 7,680.85 × 1,999.70
  4. Step 4: Simplify right side
    5,123.99x = 15,359,347.34
  5. Step 5: Solve for x
    x = 15,359,347.34/5,123.99
  6. Step 6: Final answer
    x = 2,997.54

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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.