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Finding the Fourth Proportional to 26,899.41, 40,355.59 and 8,431.41

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Solution

The fourth proportional to 26,899.41, 40,355.59 and 8,431.41 is: 12,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,899.41 : 40,355.59 = 8,431.41 : x
  2. Step 2: Convert to fraction form
    26,899.41/40,355.59 = 8,431.41/x
  3. Step 3: Cross multiply
    26,899.41x = 40,355.59 × 8,431.41
  4. Step 4: Simplify right side
    26,899.41x = 340,254,384.29
  5. Step 5: Solve for x
    x = 340,254,384.29/26,899.41
  6. Step 6: Final answer
    x = 12,649.14

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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.