Home / 2,782.40-3,838.52-1,603.22

Finding the Fourth Proportional to 2,782.40, 3,838.52 and 1,603.22

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Solution

The fourth proportional to 2,782.40, 3,838.52 and 1,603.22 is: 2,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.40 : 3,838.52 = 1,603.22 : x
  2. Step 2: Convert to fraction form
    2,782.40/3,838.52 = 1,603.22/x
  3. Step 3: Cross multiply
    2,782.40x = 3,838.52 × 1,603.22
  4. Step 4: Simplify right side
    2,782.40x = 6,153,992.03
  5. Step 5: Solve for x
    x = 6,153,992.03/2,782.40
  6. Step 6: Final answer
    x = 2,211.76

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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.