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Finding the Fourth Proportional to 30,375, 45,565.79 and 8,188.29

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Solution

The fourth proportional to 30,375, 45,565.79 and 8,188.29 is: 12,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,375 : 45,565.79 = 8,188.29 : x
  2. Step 2: Convert to fraction form
    30,375/45,565.79 = 8,188.29/x
  3. Step 3: Cross multiply
    30,375x = 45,565.79 × 8,188.29
  4. Step 4: Simplify right side
    30,375x = 373,105,861.66
  5. Step 5: Solve for x
    x = 373,105,861.66/30,375
  6. Step 6: Final answer
    x = 12,283.32

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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.