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Finding the Fourth Proportional to 3,306.77, 4,960.34 and 841.61

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Solution

The fourth proportional to 3,306.77, 4,960.34 and 841.61 is: 1,262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.77 : 4,960.34 = 841.61 : x
  2. Step 2: Convert to fraction form
    3,306.77/4,960.34 = 841.61/x
  3. Step 3: Cross multiply
    3,306.77x = 4,960.34 × 841.61
  4. Step 4: Simplify right side
    3,306.77x = 4,174,671.75
  5. Step 5: Solve for x
    x = 4,174,671.75/3,306.77
  6. Step 6: Final answer
    x = 1,262.46

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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.