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Finding the Fourth Proportional to 3,057.72, 4,587.33 and 866.46

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Solution

The fourth proportional to 3,057.72, 4,587.33 and 866.46 is: 1,299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.72 : 4,587.33 = 866.46 : x
  2. Step 2: Convert to fraction form
    3,057.72/4,587.33 = 866.46/x
  3. Step 3: Cross multiply
    3,057.72x = 4,587.33 × 866.46
  4. Step 4: Simplify right side
    3,057.72x = 3,974,758.40
  5. Step 5: Solve for x
    x = 3,974,758.40/3,057.72
  6. Step 6: Final answer
    x = 1,299.91

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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.