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Finding the Fourth Proportional to 2,618.54, 3,927.84 and 670.69

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Solution

The fourth proportional to 2,618.54, 3,927.84 and 670.69 is: 1,006.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.54 : 3,927.84 = 670.69 : x
  2. Step 2: Convert to fraction form
    2,618.54/3,927.84 = 670.69/x
  3. Step 3: Cross multiply
    2,618.54x = 3,927.84 × 670.69
  4. Step 4: Simplify right side
    2,618.54x = 2,634,363.01
  5. Step 5: Solve for x
    x = 2,634,363.01/2,618.54
  6. Step 6: Final answer
    x = 1,006.04

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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.