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Finding the Fourth Proportional to 2,978.92, 4,466.58 and 1,419.40

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Solution

The fourth proportional to 2,978.92, 4,466.58 and 1,419.40 is: 2,128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.92 : 4,466.58 = 1,419.40 : x
  2. Step 2: Convert to fraction form
    2,978.92/4,466.58 = 1,419.40/x
  3. Step 3: Cross multiply
    2,978.92x = 4,466.58 × 1,419.40
  4. Step 4: Simplify right side
    2,978.92x = 6,339,863.65
  5. Step 5: Solve for x
    x = 6,339,863.65/2,978.92
  6. Step 6: Final answer
    x = 2,128.24

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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.