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Finding the Fourth Proportional to 5,123.92, 7,070.84 and 3,028

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Solution

The fourth proportional to 5,123.92, 7,070.84 and 3,028 is: 4,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.92 : 7,070.84 = 3,028 : x
  2. Step 2: Convert to fraction form
    5,123.92/7,070.84 = 3,028/x
  3. Step 3: Cross multiply
    5,123.92x = 7,070.84 × 3,028
  4. Step 4: Simplify right side
    5,123.92x = 21,410,503.52
  5. Step 5: Solve for x
    x = 21,410,503.52/5,123.92
  6. Step 6: Final answer
    x = 4,178.54

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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.