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Finding the Fourth Proportional to 9,849.90, 14,778.90 and 3,612.90

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Solution

The fourth proportional to 9,849.90, 14,778.90 and 3,612.90 is: 5,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.90 : 14,778.90 = 3,612.90 : x
  2. Step 2: Convert to fraction form
    9,849.90/14,778.90 = 3,612.90/x
  3. Step 3: Cross multiply
    9,849.90x = 14,778.90 × 3,612.90
  4. Step 4: Simplify right side
    9,849.90x = 53,394,687.81
  5. Step 5: Solve for x
    x = 53,394,687.81/9,849.90
  6. Step 6: Final answer
    x = 5,420.84

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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.