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Finding the Fourth Proportional to 2,889.07, 3,986.89 and 2,260.24

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Solution

The fourth proportional to 2,889.07, 3,986.89 and 2,260.24 is: 3,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.07 : 3,986.89 = 2,260.24 : x
  2. Step 2: Convert to fraction form
    2,889.07/3,986.89 = 2,260.24/x
  3. Step 3: Cross multiply
    2,889.07x = 3,986.89 × 2,260.24
  4. Step 4: Simplify right side
    2,889.07x = 9,011,328.25
  5. Step 5: Solve for x
    x = 9,011,328.25/2,889.07
  6. Step 6: Final answer
    x = 3,119.11

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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.