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Finding the Fourth Proportional to 3,765.35, 5,648.00 and 991.98

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Solution

The fourth proportional to 3,765.35, 5,648.00 and 991.98 is: 1,487.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.35 : 5,648.00 = 991.98 : x
  2. Step 2: Convert to fraction form
    3,765.35/5,648.00 = 991.98/x
  3. Step 3: Cross multiply
    3,765.35x = 5,648.00 × 991.98
  4. Step 4: Simplify right side
    3,765.35x = 5,602,698.08
  5. Step 5: Solve for x
    x = 5,602,698.08/3,765.35
  6. Step 6: Final answer
    x = 1,487.96

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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.