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Finding the Fourth Proportional to 16,319, 22,520.68 and 9,245.43

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Solution

The fourth proportional to 16,319, 22,520.68 and 9,245.43 is: 12,758.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,319 : 22,520.68 = 9,245.43 : x
  2. Step 2: Convert to fraction form
    16,319/22,520.68 = 9,245.43/x
  3. Step 3: Cross multiply
    16,319x = 22,520.68 × 9,245.43
  4. Step 4: Simplify right side
    16,319x = 208,213,370.49
  5. Step 5: Solve for x
    x = 208,213,370.49/16,319
  6. Step 6: Final answer
    x = 12,758.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.