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Finding the Fourth Proportional to 26,969.68, 40,448.03 and 13,815.28

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Solution

The fourth proportional to 26,969.68, 40,448.03 and 13,815.28 is: 20,719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,969.68 : 40,448.03 = 13,815.28 : x
  2. Step 2: Convert to fraction form
    26,969.68/40,448.03 = 13,815.28/x
  3. Step 3: Cross multiply
    26,969.68x = 40,448.03 × 13,815.28
  4. Step 4: Simplify right side
    26,969.68x = 558,800,657.66
  5. Step 5: Solve for x
    x = 558,800,657.66/26,969.68
  6. Step 6: Final answer
    x = 20,719.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.