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Finding the Fourth Proportional to 2,456.80, 3,388.84 and 2,142.80

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Solution

The fourth proportional to 2,456.80, 3,388.84 and 2,142.80 is: 2,955.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.80 : 3,388.84 = 2,142.80 : x
  2. Step 2: Convert to fraction form
    2,456.80/3,388.84 = 2,142.80/x
  3. Step 3: Cross multiply
    2,456.80x = 3,388.84 × 2,142.80
  4. Step 4: Simplify right side
    2,456.80x = 7,261,606.35
  5. Step 5: Solve for x
    x = 7,261,606.35/2,456.80
  6. Step 6: Final answer
    x = 2,955.72

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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.