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Finding the Fourth Proportional to 2,510.33, 3,765.74 and 866.87

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Solution

The fourth proportional to 2,510.33, 3,765.74 and 866.87 is: 1,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.33 : 3,765.74 = 866.87 : x
  2. Step 2: Convert to fraction form
    2,510.33/3,765.74 = 866.87/x
  3. Step 3: Cross multiply
    2,510.33x = 3,765.74 × 866.87
  4. Step 4: Simplify right side
    2,510.33x = 3,264,388.21
  5. Step 5: Solve for x
    x = 3,264,388.21/2,510.33
  6. Step 6: Final answer
    x = 1,300.38

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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.