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Finding the Fourth Proportional to 30,381.81, 45,569.07 and 8,193.48

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Solution

The fourth proportional to 30,381.81, 45,569.07 and 8,193.48 is: 12,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,381.81 : 45,569.07 = 8,193.48 : x
  2. Step 2: Convert to fraction form
    30,381.81/45,569.07 = 8,193.48/x
  3. Step 3: Cross multiply
    30,381.81x = 45,569.07 × 8,193.48
  4. Step 4: Simplify right side
    30,381.81x = 373,369,263.66
  5. Step 5: Solve for x
    x = 373,369,263.66/30,381.81
  6. Step 6: Final answer
    x = 12,289.24

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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.