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Finding the Fourth Proportional to 2,564.41, 3,846.61 and 616.61

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Solution

The fourth proportional to 2,564.41, 3,846.61 and 616.61 is: 924.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.41 : 3,846.61 = 616.61 : x
  2. Step 2: Convert to fraction form
    2,564.41/3,846.61 = 616.61/x
  3. Step 3: Cross multiply
    2,564.41x = 3,846.61 × 616.61
  4. Step 4: Simplify right side
    2,564.41x = 2,371,845.49
  5. Step 5: Solve for x
    x = 2,371,845.49/2,564.41
  6. Step 6: Final answer
    x = 924.91

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Similar ratio
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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.