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Finding the Fourth Proportional to 16,422.19, 22,662.71 and 8,970.19

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Solution

The fourth proportional to 16,422.19, 22,662.71 and 8,970.19 is: 12,378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.19 : 22,662.71 = 8,970.19 : x
  2. Step 2: Convert to fraction form
    16,422.19/22,662.71 = 8,970.19/x
  3. Step 3: Cross multiply
    16,422.19x = 22,662.71 × 8,970.19
  4. Step 4: Simplify right side
    16,422.19x = 203,288,746.75
  5. Step 5: Solve for x
    x = 203,288,746.75/16,422.19
  6. Step 6: Final answer
    x = 12,378.91

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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.