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Finding the Fourth Proportional to 2,887.95, 3,982.86 and 2,328.24

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Solution

The fourth proportional to 2,887.95, 3,982.86 and 2,328.24 is: 3,210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.95 : 3,982.86 = 2,328.24 : x
  2. Step 2: Convert to fraction form
    2,887.95/3,982.86 = 2,328.24/x
  3. Step 3: Cross multiply
    2,887.95x = 3,982.86 × 2,328.24
  4. Step 4: Simplify right side
    2,887.95x = 9,273,053.97
  5. Step 5: Solve for x
    x = 9,273,053.97/2,887.95
  6. Step 6: Final answer
    x = 3,210.95

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1.5x scale

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.