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Finding the Fourth Proportional to 26,859, 40,288.50 and 10,443

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Solution

The fourth proportional to 26,859, 40,288.50 and 10,443 is: 15,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,859 : 40,288.50 = 10,443 : x
  2. Step 2: Convert to fraction form
    26,859/40,288.50 = 10,443/x
  3. Step 3: Cross multiply
    26,859x = 40,288.50 × 10,443
  4. Step 4: Simplify right side
    26,859x = 420,732,805.50
  5. Step 5: Solve for x
    x = 420,732,805.50/26,859
  6. Step 6: Final answer
    x = 15,664.50

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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.