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Finding the Fourth Proportional to 26,900, 40,356.48 and 8,432

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Solution

The fourth proportional to 26,900, 40,356.48 and 8,432 is: 12,650.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,900 : 40,356.48 = 8,432 : x
  2. Step 2: Convert to fraction form
    26,900/40,356.48 = 8,432/x
  3. Step 3: Cross multiply
    26,900x = 40,356.48 × 8,432
  4. Step 4: Simplify right side
    26,900x = 340,285,839.36
  5. Step 5: Solve for x
    x = 340,285,839.36/26,900
  6. Step 6: Final answer
    x = 12,650.03

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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.