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Finding the Fourth Proportional to 2,978.84, 4,471 and 1,519.08

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Solution

The fourth proportional to 2,978.84, 4,471 and 1,519.08 is: 2,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.84 : 4,471 = 1,519.08 : x
  2. Step 2: Convert to fraction form
    2,978.84/4,471 = 1,519.08/x
  3. Step 3: Cross multiply
    2,978.84x = 4,471 × 1,519.08
  4. Step 4: Simplify right side
    2,978.84x = 6,791,806.68
  5. Step 5: Solve for x
    x = 6,791,806.68/2,978.84
  6. Step 6: Final answer
    x = 2,280.02

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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.