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Finding the Fourth Proportional to 31,176.20, 43,023.15 and 17,029.07

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Solution

The fourth proportional to 31,176.20, 43,023.15 and 17,029.07 is: 23,500.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,176.20 : 43,023.15 = 17,029.07 : x
  2. Step 2: Convert to fraction form
    31,176.20/43,023.15 = 17,029.07/x
  3. Step 3: Cross multiply
    31,176.20x = 43,023.15 × 17,029.07
  4. Step 4: Simplify right side
    31,176.20x = 732,644,017.85
  5. Step 5: Solve for x
    x = 732,644,017.85/31,176.20
  6. Step 6: Final answer
    x = 23,500.11

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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.