Home / 2,782.81-3,840.46-1,603.95

Finding the Fourth Proportional to 2,782.81, 3,840.46 and 1,603.95

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Solution

The fourth proportional to 2,782.81, 3,840.46 and 1,603.95 is: 2,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.81 : 3,840.46 = 1,603.95 : x
  2. Step 2: Convert to fraction form
    2,782.81/3,840.46 = 1,603.95/x
  3. Step 3: Cross multiply
    2,782.81x = 3,840.46 × 1,603.95
  4. Step 4: Simplify right side
    2,782.81x = 6,159,897.80
  5. Step 5: Solve for x
    x = 6,159,897.80/2,782.81
  6. Step 6: Final answer
    x = 2,213.56

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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.