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Finding the Fourth Proportional to 6,123.78, 9,138.69 and 5,467.68

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Solution

The fourth proportional to 6,123.78, 9,138.69 and 5,467.68 is: 8,159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.78 : 9,138.69 = 5,467.68 : x
  2. Step 2: Convert to fraction form
    6,123.78/9,138.69 = 5,467.68/x
  3. Step 3: Cross multiply
    6,123.78x = 9,138.69 × 5,467.68
  4. Step 4: Simplify right side
    6,123.78x = 49,967,432.54
  5. Step 5: Solve for x
    x = 49,967,432.54/6,123.78
  6. Step 6: Final answer
    x = 8,159.57

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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.