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Finding the Fourth Proportional to 2,782.87, 4,174.72 and 908.17

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Solution

The fourth proportional to 2,782.87, 4,174.72 and 908.17 is: 1,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.87 : 4,174.72 = 908.17 : x
  2. Step 2: Convert to fraction form
    2,782.87/4,174.72 = 908.17/x
  3. Step 3: Cross multiply
    2,782.87x = 4,174.72 × 908.17
  4. Step 4: Simplify right side
    2,782.87x = 3,791,342.76
  5. Step 5: Solve for x
    x = 3,791,342.76/2,782.87
  6. Step 6: Final answer
    x = 1,362.39

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1.5x scale

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.