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Finding the Fourth Proportional to 5,089.66, 7,628.11 and 2,749.57

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Solution

The fourth proportional to 5,089.66, 7,628.11 and 2,749.57 is: 4,120.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.66 : 7,628.11 = 2,749.57 : x
  2. Step 2: Convert to fraction form
    5,089.66/7,628.11 = 2,749.57/x
  3. Step 3: Cross multiply
    5,089.66x = 7,628.11 × 2,749.57
  4. Step 4: Simplify right side
    5,089.66x = 20,973,996.47
  5. Step 5: Solve for x
    x = 20,973,996.47/5,089.66
  6. Step 6: Final answer
    x = 4,120.91

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1.5x scale

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.