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Finding the Fourth Proportional to 2,101.95, 3,153.31 and 715.22

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Solution

The fourth proportional to 2,101.95, 3,153.31 and 715.22 is: 1,072.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.95 : 3,153.31 = 715.22 : x
  2. Step 2: Convert to fraction form
    2,101.95/3,153.31 = 715.22/x
  3. Step 3: Cross multiply
    2,101.95x = 3,153.31 × 715.22
  4. Step 4: Simplify right side
    2,101.95x = 2,255,304.65
  5. Step 5: Solve for x
    x = 2,255,304.65/2,101.95
  6. Step 6: Final answer
    x = 1,072.96

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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.