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Finding the Fourth Proportional to 26,937, 40,407.12 and 8,469

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Solution

The fourth proportional to 26,937, 40,407.12 and 8,469 is: 12,704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,937 : 40,407.12 = 8,469 : x
  2. Step 2: Convert to fraction form
    26,937/40,407.12 = 8,469/x
  3. Step 3: Cross multiply
    26,937x = 40,407.12 × 8,469
  4. Step 4: Simplify right side
    26,937x = 342,207,899.28
  5. Step 5: Solve for x
    x = 342,207,899.28/26,937
  6. Step 6: Final answer
    x = 12,704.01

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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.