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Finding the Fourth Proportional to 2,978.89, 4,468.33 and 1,006.74

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Solution

The fourth proportional to 2,978.89, 4,468.33 and 1,006.74 is: 1,510.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.89 : 4,468.33 = 1,006.74 : x
  2. Step 2: Convert to fraction form
    2,978.89/4,468.33 = 1,006.74/x
  3. Step 3: Cross multiply
    2,978.89x = 4,468.33 × 1,006.74
  4. Step 4: Simplify right side
    2,978.89x = 4,498,446.54
  5. Step 5: Solve for x
    x = 4,498,446.54/2,978.89
  6. Step 6: Final answer
    x = 1,510.11

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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.