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Finding the Fourth Proportional to 16,221.70, 22,377.90 and 10,477.18

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Solution

The fourth proportional to 16,221.70, 22,377.90 and 10,477.18 is: 14,453.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.70 : 22,377.90 = 10,477.18 : x
  2. Step 2: Convert to fraction form
    16,221.70/22,377.90 = 10,477.18/x
  3. Step 3: Cross multiply
    16,221.70x = 22,377.90 × 10,477.18
  4. Step 4: Simplify right side
    16,221.70x = 234,457,286.32
  5. Step 5: Solve for x
    x = 234,457,286.32/16,221.70
  6. Step 6: Final answer
    x = 14,453.31

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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.