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Finding the Fourth Proportional to 14,785.32, 22,178 and 8,625

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Solution

The fourth proportional to 14,785.32, 22,178 and 8,625 is: 12,937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785.32 : 22,178 = 8,625 : x
  2. Step 2: Convert to fraction form
    14,785.32/22,178 = 8,625/x
  3. Step 3: Cross multiply
    14,785.32x = 22,178 × 8,625
  4. Step 4: Simplify right side
    14,785.32x = 191,285,250
  5. Step 5: Solve for x
    x = 191,285,250/14,785.32
  6. Step 6: Final answer
    x = 12,937.51

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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.