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Finding the Fourth Proportional to 15,781.92, 23,678.37 and 7,023.12

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Solution

The fourth proportional to 15,781.92, 23,678.37 and 7,023.12 is: 10,537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.92 : 23,678.37 = 7,023.12 : x
  2. Step 2: Convert to fraction form
    15,781.92/23,678.37 = 7,023.12/x
  3. Step 3: Cross multiply
    15,781.92x = 23,678.37 × 7,023.12
  4. Step 4: Simplify right side
    15,781.92x = 166,296,033.91
  5. Step 5: Solve for x
    x = 166,296,033.91/15,781.92
  6. Step 6: Final answer
    x = 10,537.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.