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Finding the Fourth Proportional to 2,177.15, 3,264.67 and 715.81

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Solution

The fourth proportional to 2,177.15, 3,264.67 and 715.81 is: 1,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.15 : 3,264.67 = 715.81 : x
  2. Step 2: Convert to fraction form
    2,177.15/3,264.67 = 715.81/x
  3. Step 3: Cross multiply
    2,177.15x = 3,264.67 × 715.81
  4. Step 4: Simplify right side
    2,177.15x = 2,336,883.43
  5. Step 5: Solve for x
    x = 2,336,883.43/2,177.15
  6. Step 6: Final answer
    x = 1,073.37

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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.