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Finding the Fourth Proportional to 22,788, 31,447.44 and 12,853.92

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Solution

The fourth proportional to 22,788, 31,447.44 and 12,853.92 is: 17,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,788 : 31,447.44 = 12,853.92 : x
  2. Step 2: Convert to fraction form
    22,788/31,447.44 = 12,853.92/x
  3. Step 3: Cross multiply
    22,788x = 31,447.44 × 12,853.92
  4. Step 4: Simplify right side
    22,788x = 404,222,877.96
  5. Step 5: Solve for x
    x = 404,222,877.96/22,788
  6. Step 6: Final answer
    x = 17,738.41

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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.