Home / 2,782.60-3,838.53-2,257.72

Finding the Fourth Proportional to 2,782.60, 3,838.53 and 2,257.72

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Solution

The fourth proportional to 2,782.60, 3,838.53 and 2,257.72 is: 3,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.60 : 3,838.53 = 2,257.72 : x
  2. Step 2: Convert to fraction form
    2,782.60/3,838.53 = 2,257.72/x
  3. Step 3: Cross multiply
    2,782.60x = 3,838.53 × 2,257.72
  4. Step 4: Simplify right side
    2,782.60x = 8,666,325.95
  5. Step 5: Solve for x
    x = 8,666,325.95/2,782.60
  6. Step 6: Final answer
    x = 3,114.47

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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.