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Finding the Fourth Proportional to 9,230.81, 13,848.21 and 2,991.44

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Solution

The fourth proportional to 9,230.81, 13,848.21 and 2,991.44 is: 4,487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.81 : 13,848.21 = 2,991.44 : x
  2. Step 2: Convert to fraction form
    9,230.81/13,848.21 = 2,991.44/x
  3. Step 3: Cross multiply
    9,230.81x = 13,848.21 × 2,991.44
  4. Step 4: Simplify right side
    9,230.81x = 41,426,123.94
  5. Step 5: Solve for x
    x = 41,426,123.94/9,230.81
  6. Step 6: Final answer
    x = 4,487.81

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1.5x scale

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.