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Finding the Fourth Proportional to 30,560, 45,847.68 and 8,672

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Solution

The fourth proportional to 30,560, 45,847.68 and 8,672 is: 13,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,560 : 45,847.68 = 8,672 : x
  2. Step 2: Convert to fraction form
    30,560/45,847.68 = 8,672/x
  3. Step 3: Cross multiply
    30,560x = 45,847.68 × 8,672
  4. Step 4: Simplify right side
    30,560x = 397,591,080.96
  5. Step 5: Solve for x
    x = 397,591,080.96/30,560
  6. Step 6: Final answer
    x = 13,010.18

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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.