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Finding the Fourth Proportional to 5,169.59, 7,749.68 and 1,881.90

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Solution

The fourth proportional to 5,169.59, 7,749.68 and 1,881.90 is: 2,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.59 : 7,749.68 = 1,881.90 : x
  2. Step 2: Convert to fraction form
    5,169.59/7,749.68 = 1,881.90/x
  3. Step 3: Cross multiply
    5,169.59x = 7,749.68 × 1,881.90
  4. Step 4: Simplify right side
    5,169.59x = 14,584,113.38
  5. Step 5: Solve for x
    x = 14,584,113.38/5,169.59
  6. Step 6: Final answer
    x = 2,821.14

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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.