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Finding the Fourth Proportional to 2,277, 3,141.06 and 1,529.68

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Solution

The fourth proportional to 2,277, 3,141.06 and 1,529.68 is: 2,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277 : 3,141.06 = 1,529.68 : x
  2. Step 2: Convert to fraction form
    2,277/3,141.06 = 1,529.68/x
  3. Step 3: Cross multiply
    2,277x = 3,141.06 × 1,529.68
  4. Step 4: Simplify right side
    2,277x = 4,804,816.66
  5. Step 5: Solve for x
    x = 4,804,816.66/2,277
  6. Step 6: Final answer
    x = 2,110.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.