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Finding the Fourth Proportional to 30,530.86, 45,800.88 and 10,809.61

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Solution

The fourth proportional to 30,530.86, 45,800.88 and 10,809.61 is: 16,216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,530.86 : 45,800.88 = 10,809.61 : x
  2. Step 2: Convert to fraction form
    30,530.86/45,800.88 = 10,809.61/x
  3. Step 3: Cross multiply
    30,530.86x = 45,800.88 × 10,809.61
  4. Step 4: Simplify right side
    30,530.86x = 495,089,650.46
  5. Step 5: Solve for x
    x = 495,089,650.46/30,530.86
  6. Step 6: Final answer
    x = 16,216.04

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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.