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Finding the Fourth Proportional to 22,291.92, 30,762.78 and 12,220.78

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Solution

The fourth proportional to 22,291.92, 30,762.78 and 12,220.78 is: 16,864.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,291.92 : 30,762.78 = 12,220.78 : x
  2. Step 2: Convert to fraction form
    22,291.92/30,762.78 = 12,220.78/x
  3. Step 3: Cross multiply
    22,291.92x = 30,762.78 × 12,220.78
  4. Step 4: Simplify right side
    22,291.92x = 375,945,166.57
  5. Step 5: Solve for x
    x = 375,945,166.57/22,291.92
  6. Step 6: Final answer
    x = 16,864.64

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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.