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Finding the Fourth Proportional to 22,200.76, 30,638 and 12,769.32

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Solution

The fourth proportional to 22,200.76, 30,638 and 12,769.32 is: 17,622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,200.76 : 30,638 = 12,769.32 : x
  2. Step 2: Convert to fraction form
    22,200.76/30,638 = 12,769.32/x
  3. Step 3: Cross multiply
    22,200.76x = 30,638 × 12,769.32
  4. Step 4: Simplify right side
    22,200.76x = 391,226,426.16
  5. Step 5: Solve for x
    x = 391,226,426.16/22,200.76
  6. Step 6: Final answer
    x = 17,622.21

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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.