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Finding the Fourth Proportional to 30,370, 45,562.68 and 8,482

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Solution

The fourth proportional to 30,370, 45,562.68 and 8,482 is: 12,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,370 : 45,562.68 = 8,482 : x
  2. Step 2: Convert to fraction form
    30,370/45,562.68 = 8,482/x
  3. Step 3: Cross multiply
    30,370x = 45,562.68 × 8,482
  4. Step 4: Simplify right side
    30,370x = 386,462,651.76
  5. Step 5: Solve for x
    x = 386,462,651.76/30,370
  6. Step 6: Final answer
    x = 12,725.14

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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.