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Finding the Fourth Proportional to 5,169.51, 7,749.90 and 1,880.70

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Solution

The fourth proportional to 5,169.51, 7,749.90 and 1,880.70 is: 2,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.51 : 7,749.90 = 1,880.70 : x
  2. Step 2: Convert to fraction form
    5,169.51/7,749.90 = 1,880.70/x
  3. Step 3: Cross multiply
    5,169.51x = 7,749.90 × 1,880.70
  4. Step 4: Simplify right side
    5,169.51x = 14,575,236.93
  5. Step 5: Solve for x
    x = 14,575,236.93/5,169.51
  6. Step 6: Final answer
    x = 2,819.46

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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.