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Finding the Fourth Proportional to 30,399.81, 45,596.14 and 8,214.93

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Solution

The fourth proportional to 30,399.81, 45,596.14 and 8,214.93 is: 12,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,399.81 : 45,596.14 = 8,214.93 : x
  2. Step 2: Convert to fraction form
    30,399.81/45,596.14 = 8,214.93/x
  3. Step 3: Cross multiply
    30,399.81x = 45,596.14 × 8,214.93
  4. Step 4: Simplify right side
    30,399.81x = 374,569,098.37
  5. Step 5: Solve for x
    x = 374,569,098.37/30,399.81
  6. Step 6: Final answer
    x = 12,321.43

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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.