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Finding the Fourth Proportional to 12,219.70, 16,853.95 and 8,449.18

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Solution

The fourth proportional to 12,219.70, 16,853.95 and 8,449.18 is: 11,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.70 : 16,853.95 = 8,449.18 : x
  2. Step 2: Convert to fraction form
    12,219.70/16,853.95 = 8,449.18/x
  3. Step 3: Cross multiply
    12,219.70x = 16,853.95 × 8,449.18
  4. Step 4: Simplify right side
    12,219.70x = 142,402,057.26
  5. Step 5: Solve for x
    x = 142,402,057.26/12,219.70
  6. Step 6: Final answer
    x = 11,653.48

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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.