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Finding the Fourth Proportional to 7,123.68, 9,830 and 4,138.56

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Solution

The fourth proportional to 7,123.68, 9,830 and 4,138.56 is: 5,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.68 : 9,830 = 4,138.56 : x
  2. Step 2: Convert to fraction form
    7,123.68/9,830 = 4,138.56/x
  3. Step 3: Cross multiply
    7,123.68x = 9,830 × 4,138.56
  4. Step 4: Simplify right side
    7,123.68x = 40,682,044.80
  5. Step 5: Solve for x
    x = 40,682,044.80/7,123.68
  6. Step 6: Final answer
    x = 5,710.82

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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.