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Finding the Fourth Proportional to 30,233.86, 45,354.89 and 10,509.86

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Solution

The fourth proportional to 30,233.86, 45,354.89 and 10,509.86 is: 15,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,233.86 : 45,354.89 = 10,509.86 : x
  2. Step 2: Convert to fraction form
    30,233.86/45,354.89 = 10,509.86/x
  3. Step 3: Cross multiply
    30,233.86x = 45,354.89 × 10,509.86
  4. Step 4: Simplify right side
    30,233.86x = 476,673,683.88
  5. Step 5: Solve for x
    x = 476,673,683.88/30,233.86
  6. Step 6: Final answer
    x = 15,766.22

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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.