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Finding the Fourth Proportional to 2,782.74, 4,174.13 and 1,139.45

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Solution

The fourth proportional to 2,782.74, 4,174.13 and 1,139.45 is: 1,709.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.74 : 4,174.13 = 1,139.45 : x
  2. Step 2: Convert to fraction form
    2,782.74/4,174.13 = 1,139.45/x
  3. Step 3: Cross multiply
    2,782.74x = 4,174.13 × 1,139.45
  4. Step 4: Simplify right side
    2,782.74x = 4,756,185.86
  5. Step 5: Solve for x
    x = 4,756,185.86/2,782.74
  6. Step 6: Final answer
    x = 1,709.17

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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.