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Finding the Fourth Proportional to 30,648.62, 45,972.94 and 9,872.12

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Solution

The fourth proportional to 30,648.62, 45,972.94 and 9,872.12 is: 14,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,648.62 : 45,972.94 = 9,872.12 : x
  2. Step 2: Convert to fraction form
    30,648.62/45,972.94 = 9,872.12/x
  3. Step 3: Cross multiply
    30,648.62x = 45,972.94 × 9,872.12
  4. Step 4: Simplify right side
    30,648.62x = 453,850,380.43
  5. Step 5: Solve for x
    x = 453,850,380.43/30,648.62
  6. Step 6: Final answer
    x = 14,808.18

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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.