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Finding the Fourth Proportional to 2,886.87, 4,329.03 and 1,962.66

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Solution

The fourth proportional to 2,886.87, 4,329.03 and 1,962.66 is: 2,943.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.87 : 4,329.03 = 1,962.66 : x
  2. Step 2: Convert to fraction form
    2,886.87/4,329.03 = 1,962.66/x
  3. Step 3: Cross multiply
    2,886.87x = 4,329.03 × 1,962.66
  4. Step 4: Simplify right side
    2,886.87x = 8,496,414.02
  5. Step 5: Solve for x
    x = 8,496,414.02/2,886.87
  6. Step 6: Final answer
    x = 2,943.12

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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.