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Finding the Fourth Proportional to 35,906.99, 53,854 and 12,540.11

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Solution

The fourth proportional to 35,906.99, 53,854 and 12,540.11 is: 18,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,906.99 : 53,854 = 12,540.11 : x
  2. Step 2: Convert to fraction form
    35,906.99/53,854 = 12,540.11/x
  3. Step 3: Cross multiply
    35,906.99x = 53,854 × 12,540.11
  4. Step 4: Simplify right side
    35,906.99x = 675,335,083.94
  5. Step 5: Solve for x
    x = 675,335,083.94/35,906.99
  6. Step 6: Final answer
    x = 18,807.90

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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.