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Finding the Fourth Proportional to 2,886.54, 3,984.96 and 2,313.14

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Solution

The fourth proportional to 2,886.54, 3,984.96 and 2,313.14 is: 3,193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.54 : 3,984.96 = 2,313.14 : x
  2. Step 2: Convert to fraction form
    2,886.54/3,984.96 = 2,313.14/x
  3. Step 3: Cross multiply
    2,886.54x = 3,984.96 × 2,313.14
  4. Step 4: Simplify right side
    2,886.54x = 9,217,770.37
  5. Step 5: Solve for x
    x = 9,217,770.37/2,886.54
  6. Step 6: Final answer
    x = 3,193.36

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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.