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Finding the Fourth Proportional to 39,696, 54,783.18 and 22,929

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Solution

The fourth proportional to 39,696, 54,783.18 and 22,929 is: 31,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,696 : 54,783.18 = 22,929 : x
  2. Step 2: Convert to fraction form
    39,696/54,783.18 = 22,929/x
  3. Step 3: Cross multiply
    39,696x = 54,783.18 × 22,929
  4. Step 4: Simplify right side
    39,696x = 1,256,123,534.22
  5. Step 5: Solve for x
    x = 1,256,123,534.22/39,696
  6. Step 6: Final answer
    x = 31,643.58

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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.