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Finding the Fourth Proportional to 30,573, 45,867.18 and 8,685

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Solution

The fourth proportional to 30,573, 45,867.18 and 8,685 is: 13,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,573 : 45,867.18 = 8,685 : x
  2. Step 2: Convert to fraction form
    30,573/45,867.18 = 8,685/x
  3. Step 3: Cross multiply
    30,573x = 45,867.18 × 8,685
  4. Step 4: Simplify right side
    30,573x = 398,356,458.30
  5. Step 5: Solve for x
    x = 398,356,458.30/30,573
  6. Step 6: Final answer
    x = 13,029.68

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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.