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Finding the Fourth Proportional to 2,678.61, 4,019.13 and 1,218.18

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Solution

The fourth proportional to 2,678.61, 4,019.13 and 1,218.18 is: 1,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.61 : 4,019.13 = 1,218.18 : x
  2. Step 2: Convert to fraction form
    2,678.61/4,019.13 = 1,218.18/x
  3. Step 3: Cross multiply
    2,678.61x = 4,019.13 × 1,218.18
  4. Step 4: Simplify right side
    2,678.61x = 4,896,023.78
  5. Step 5: Solve for x
    x = 4,896,023.78/2,678.61
  6. Step 6: Final answer
    x = 1,827.82

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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.