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Finding the Fourth Proportional to 30,578, 45,867 and 9,803.12

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Solution

The fourth proportional to 30,578, 45,867 and 9,803.12 is: 14,704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578 : 45,867 = 9,803.12 : x
  2. Step 2: Convert to fraction form
    30,578/45,867 = 9,803.12/x
  3. Step 3: Cross multiply
    30,578x = 45,867 × 9,803.12
  4. Step 4: Simplify right side
    30,578x = 449,639,705.04
  5. Step 5: Solve for x
    x = 449,639,705.04/30,578
  6. Step 6: Final answer
    x = 14,704.68

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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.