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Finding the Fourth Proportional to 4,906.90, 7,363.35 and 1,984.90

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Solution

The fourth proportional to 4,906.90, 7,363.35 and 1,984.90 is: 2,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.90 : 7,363.35 = 1,984.90 : x
  2. Step 2: Convert to fraction form
    4,906.90/7,363.35 = 1,984.90/x
  3. Step 3: Cross multiply
    4,906.90x = 7,363.35 × 1,984.90
  4. Step 4: Simplify right side
    4,906.90x = 14,615,513.42
  5. Step 5: Solve for x
    x = 14,615,513.42/4,906.90
  6. Step 6: Final answer
    x = 2,978.56

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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.