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Finding the Fourth Proportional to 2,238.56, 3,357 and 777.36

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Solution

The fourth proportional to 2,238.56, 3,357 and 777.36 is: 1,165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.56 : 3,357 = 777.36 : x
  2. Step 2: Convert to fraction form
    2,238.56/3,357 = 777.36/x
  3. Step 3: Cross multiply
    2,238.56x = 3,357 × 777.36
  4. Step 4: Simplify right side
    2,238.56x = 2,609,597.52
  5. Step 5: Solve for x
    x = 2,609,597.52/2,238.56
  6. Step 6: Final answer
    x = 1,165.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.