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Finding the Fourth Proportional to 5,921.87, 8,881.26 and 1,760.76

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Solution

The fourth proportional to 5,921.87, 8,881.26 and 1,760.76 is: 2,640.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.87 : 8,881.26 = 1,760.76 : x
  2. Step 2: Convert to fraction form
    5,921.87/8,881.26 = 1,760.76/x
  3. Step 3: Cross multiply
    5,921.87x = 8,881.26 × 1,760.76
  4. Step 4: Simplify right side
    5,921.87x = 15,637,727.45
  5. Step 5: Solve for x
    x = 15,637,727.45/5,921.87
  6. Step 6: Final answer
    x = 2,640.67

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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.