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Finding the Fourth Proportional to 1,932.66, 2,911.14 and 1,907.15

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Solution

The fourth proportional to 1,932.66, 2,911.14 and 1,907.15 is: 2,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.66 : 2,911.14 = 1,907.15 : x
  2. Step 2: Convert to fraction form
    1,932.66/2,911.14 = 1,907.15/x
  3. Step 3: Cross multiply
    1,932.66x = 2,911.14 × 1,907.15
  4. Step 4: Simplify right side
    1,932.66x = 5,551,966.10
  5. Step 5: Solve for x
    x = 5,551,966.10/1,932.66
  6. Step 6: Final answer
    x = 2,872.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.