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Finding the Fourth Proportional to 26,904, 40,362.48 and 8,436

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Solution

The fourth proportional to 26,904, 40,362.48 and 8,436 is: 12,656.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,904 : 40,362.48 = 8,436 : x
  2. Step 2: Convert to fraction form
    26,904/40,362.48 = 8,436/x
  3. Step 3: Cross multiply
    26,904x = 40,362.48 × 8,436
  4. Step 4: Simplify right side
    26,904x = 340,497,881.28
  5. Step 5: Solve for x
    x = 340,497,881.28/26,904
  6. Step 6: Final answer
    x = 12,656.03

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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.