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Finding the Fourth Proportional to 22,970.44, 31,682.64 and 21,088

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Solution

The fourth proportional to 22,970.44, 31,682.64 and 21,088 is: 29,086.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.44 : 31,682.64 = 21,088 : x
  2. Step 2: Convert to fraction form
    22,970.44/31,682.64 = 21,088/x
  3. Step 3: Cross multiply
    22,970.44x = 31,682.64 × 21,088
  4. Step 4: Simplify right side
    22,970.44x = 668,123,512.32
  5. Step 5: Solve for x
    x = 668,123,512.32/22,970.44
  6. Step 6: Final answer
    x = 29,086.23

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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.