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Finding the Fourth Proportional to 30,100.50, 45,150.89 and 9,324

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Solution

The fourth proportional to 30,100.50, 45,150.89 and 9,324 is: 13,986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,100.50 : 45,150.89 = 9,324 : x
  2. Step 2: Convert to fraction form
    30,100.50/45,150.89 = 9,324/x
  3. Step 3: Cross multiply
    30,100.50x = 45,150.89 × 9,324
  4. Step 4: Simplify right side
    30,100.50x = 420,986,851.74
  5. Step 5: Solve for x
    x = 420,986,851.74/30,100.50
  6. Step 6: Final answer
    x = 13,986.04

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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.