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Finding the Fourth Proportional to 4,363.49, 6,542.75 and 2,978.50

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Solution

The fourth proportional to 4,363.49, 6,542.75 and 2,978.50 is: 4,466.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,363.49 : 6,542.75 = 2,978.50 : x
  2. Step 2: Convert to fraction form
    4,363.49/6,542.75 = 2,978.50/x
  3. Step 3: Cross multiply
    4,363.49x = 6,542.75 × 2,978.50
  4. Step 4: Simplify right side
    4,363.49x = 19,487,580.88
  5. Step 5: Solve for x
    x = 19,487,580.88/4,363.49
  6. Step 6: Final answer
    x = 4,466.05

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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.