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Finding the Fourth Proportional to 26,880, 40,309.52 and 15,789.52

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Solution

The fourth proportional to 26,880, 40,309.52 and 15,789.52 is: 23,678.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,880 : 40,309.52 = 15,789.52 : x
  2. Step 2: Convert to fraction form
    26,880/40,309.52 = 15,789.52/x
  3. Step 3: Cross multiply
    26,880x = 40,309.52 × 15,789.52
  4. Step 4: Simplify right side
    26,880x = 636,467,972.23
  5. Step 5: Solve for x
    x = 636,467,972.23/26,880
  6. Step 6: Final answer
    x = 23,678.12

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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.