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Finding the Fourth Proportional to 3,105.84, 4,658.40 and 1,700.68

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Solution

The fourth proportional to 3,105.84, 4,658.40 and 1,700.68 is: 2,550.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.84 : 4,658.40 = 1,700.68 : x
  2. Step 2: Convert to fraction form
    3,105.84/4,658.40 = 1,700.68/x
  3. Step 3: Cross multiply
    3,105.84x = 4,658.40 × 1,700.68
  4. Step 4: Simplify right side
    3,105.84x = 7,922,447.71
  5. Step 5: Solve for x
    x = 7,922,447.71/3,105.84
  6. Step 6: Final answer
    x = 2,550.82

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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.