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Finding the Fourth Proportional to 22,809.87, 31,477.32 and 12,738.74

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Solution

The fourth proportional to 22,809.87, 31,477.32 and 12,738.74 is: 17,579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.87 : 31,477.32 = 12,738.74 : x
  2. Step 2: Convert to fraction form
    22,809.87/31,477.32 = 12,738.74/x
  3. Step 3: Cross multiply
    22,809.87x = 31,477.32 × 12,738.74
  4. Step 4: Simplify right side
    22,809.87x = 400,981,237.99
  5. Step 5: Solve for x
    x = 400,981,237.99/22,809.87
  6. Step 6: Final answer
    x = 17,579.29

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Double scale
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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.