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Finding the Fourth Proportional to 2,882.95, 3,978.98 and 2,260.87

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Solution

The fourth proportional to 2,882.95, 3,978.98 and 2,260.87 is: 3,120.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.95 : 3,978.98 = 2,260.87 : x
  2. Step 2: Convert to fraction form
    2,882.95/3,978.98 = 2,260.87/x
  3. Step 3: Cross multiply
    2,882.95x = 3,978.98 × 2,260.87
  4. Step 4: Simplify right side
    2,882.95x = 8,995,956.51
  5. Step 5: Solve for x
    x = 8,995,956.51/2,882.95
  6. Step 6: Final answer
    x = 3,120.40

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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.