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Finding the Fourth Proportional to 2,809.44, 3,877.20 and 2,342.88

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Solution

The fourth proportional to 2,809.44, 3,877.20 and 2,342.88 is: 3,233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.44 : 3,877.20 = 2,342.88 : x
  2. Step 2: Convert to fraction form
    2,809.44/3,877.20 = 2,342.88/x
  3. Step 3: Cross multiply
    2,809.44x = 3,877.20 × 2,342.88
  4. Step 4: Simplify right side
    2,809.44x = 9,083,814.34
  5. Step 5: Solve for x
    x = 9,083,814.34/2,809.44
  6. Step 6: Final answer
    x = 3,233.32

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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.