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Finding the Fourth Proportional to 2,186.66, 3,280.11 and 647.78

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Solution

The fourth proportional to 2,186.66, 3,280.11 and 647.78 is: 971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.66 : 3,280.11 = 647.78 : x
  2. Step 2: Convert to fraction form
    2,186.66/3,280.11 = 647.78/x
  3. Step 3: Cross multiply
    2,186.66x = 3,280.11 × 647.78
  4. Step 4: Simplify right side
    2,186.66x = 2,124,789.66
  5. Step 5: Solve for x
    x = 2,124,789.66/2,186.66
  6. Step 6: Final answer
    x = 971.71

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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.