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Finding the Fourth Proportional to 2,878.94, 3,970.92 and 2,643.84

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Solution

The fourth proportional to 2,878.94, 3,970.92 and 2,643.84 is: 3,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.94 : 3,970.92 = 2,643.84 : x
  2. Step 2: Convert to fraction form
    2,878.94/3,970.92 = 2,643.84/x
  3. Step 3: Cross multiply
    2,878.94x = 3,970.92 × 2,643.84
  4. Step 4: Simplify right side
    2,878.94x = 10,498,487.05
  5. Step 5: Solve for x
    x = 10,498,487.05/2,878.94
  6. Step 6: Final answer
    x = 3,646.65

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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.