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Finding the Fourth Proportional to 4,928.85, 7,390.80 and 1,640.79

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Solution

The fourth proportional to 4,928.85, 7,390.80 and 1,640.79 is: 2,460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.85 : 7,390.80 = 1,640.79 : x
  2. Step 2: Convert to fraction form
    4,928.85/7,390.80 = 1,640.79/x
  3. Step 3: Cross multiply
    4,928.85x = 7,390.80 × 1,640.79
  4. Step 4: Simplify right side
    4,928.85x = 12,126,750.73
  5. Step 5: Solve for x
    x = 12,126,750.73/4,928.85
  6. Step 6: Final answer
    x = 2,460.36

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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.