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Finding the Fourth Proportional to 22,777.82, 31,420.22 and 13,696.87

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Solution

The fourth proportional to 22,777.82, 31,420.22 and 13,696.87 is: 18,893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,777.82 : 31,420.22 = 13,696.87 : x
  2. Step 2: Convert to fraction form
    22,777.82/31,420.22 = 13,696.87/x
  3. Step 3: Cross multiply
    22,777.82x = 31,420.22 × 13,696.87
  4. Step 4: Simplify right side
    22,777.82x = 430,358,511.61
  5. Step 5: Solve for x
    x = 430,358,511.61/22,777.82
  6. Step 6: Final answer
    x = 18,893.75

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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.