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Finding the Fourth Proportional to 2,978.10, 4,467.15 and 2,502.90

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Solution

The fourth proportional to 2,978.10, 4,467.15 and 2,502.90 is: 3,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.10 : 4,467.15 = 2,502.90 : x
  2. Step 2: Convert to fraction form
    2,978.10/4,467.15 = 2,502.90/x
  3. Step 3: Cross multiply
    2,978.10x = 4,467.15 × 2,502.90
  4. Step 4: Simplify right side
    2,978.10x = 11,180,829.74
  5. Step 5: Solve for x
    x = 11,180,829.74/2,978.10
  6. Step 6: Final answer
    x = 3,754.35

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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.