Home / 2,277.32-3,420.30-1,949

Finding the Fourth Proportional to 2,277.32, 3,420.30 and 1,949

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Solution

The fourth proportional to 2,277.32, 3,420.30 and 1,949 is: 2,927.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.32 : 3,420.30 = 1,949 : x
  2. Step 2: Convert to fraction form
    2,277.32/3,420.30 = 1,949/x
  3. Step 3: Cross multiply
    2,277.32x = 3,420.30 × 1,949
  4. Step 4: Simplify right side
    2,277.32x = 6,666,164.70
  5. Step 5: Solve for x
    x = 6,666,164.70/2,277.32
  6. Step 6: Final answer
    x = 2,927.20

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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.