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Finding the Fourth Proportional to 22,696, 31,320.48 and 13,272.48

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Solution

The fourth proportional to 22,696, 31,320.48 and 13,272.48 is: 18,316.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696 : 31,320.48 = 13,272.48 : x
  2. Step 2: Convert to fraction form
    22,696/31,320.48 = 13,272.48/x
  3. Step 3: Cross multiply
    22,696x = 31,320.48 × 13,272.48
  4. Step 4: Simplify right side
    22,696x = 415,700,444.39
  5. Step 5: Solve for x
    x = 415,700,444.39/22,696
  6. Step 6: Final answer
    x = 18,316.02

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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.