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Finding the Fourth Proportional to 23,137.86, 31,930.03 and 13,066.12

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Solution

The fourth proportional to 23,137.86, 31,930.03 and 13,066.12 is: 18,031.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,137.86 : 31,930.03 = 13,066.12 : x
  2. Step 2: Convert to fraction form
    23,137.86/31,930.03 = 13,066.12/x
  3. Step 3: Cross multiply
    23,137.86x = 31,930.03 × 13,066.12
  4. Step 4: Simplify right side
    23,137.86x = 417,201,659.83
  5. Step 5: Solve for x
    x = 417,201,659.83/23,137.86
  6. Step 6: Final answer
    x = 18,031.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.