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Finding the Fourth Proportional to 4,617.99, 6,922.15 and 2,150.78

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Solution

The fourth proportional to 4,617.99, 6,922.15 and 2,150.78 is: 3,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.99 : 6,922.15 = 2,150.78 : x
  2. Step 2: Convert to fraction form
    4,617.99/6,922.15 = 2,150.78/x
  3. Step 3: Cross multiply
    4,617.99x = 6,922.15 × 2,150.78
  4. Step 4: Simplify right side
    4,617.99x = 14,887,981.79
  5. Step 5: Solve for x
    x = 14,887,981.79/4,617.99
  6. Step 6: Final answer
    x = 3,223.91

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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.