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Finding the Fourth Proportional to 2,883.97, 3,982.80 and 2,484.82

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Solution

The fourth proportional to 2,883.97, 3,982.80 and 2,484.82 is: 3,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.97 : 3,982.80 = 2,484.82 : x
  2. Step 2: Convert to fraction form
    2,883.97/3,982.80 = 2,484.82/x
  3. Step 3: Cross multiply
    2,883.97x = 3,982.80 × 2,484.82
  4. Step 4: Simplify right side
    2,883.97x = 9,896,541.10
  5. Step 5: Solve for x
    x = 9,896,541.10/2,883.97
  6. Step 6: Final answer
    x = 3,431.57

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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.