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Finding the Fourth Proportional to 4,201.78, 6,302.70 and 1,123.78

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Solution

The fourth proportional to 4,201.78, 6,302.70 and 1,123.78 is: 1,685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.78 : 6,302.70 = 1,123.78 : x
  2. Step 2: Convert to fraction form
    4,201.78/6,302.70 = 1,123.78/x
  3. Step 3: Cross multiply
    4,201.78x = 6,302.70 × 1,123.78
  4. Step 4: Simplify right side
    4,201.78x = 7,082,848.21
  5. Step 5: Solve for x
    x = 7,082,848.21/4,201.78
  6. Step 6: Final answer
    x = 1,685.68

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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.