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Finding the Fourth Proportional to 15,971.16, 23,945.64 and 7,081.68

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Solution

The fourth proportional to 15,971.16, 23,945.64 and 7,081.68 is: 10,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,971.16 : 23,945.64 = 7,081.68 : x
  2. Step 2: Convert to fraction form
    15,971.16/23,945.64 = 7,081.68/x
  3. Step 3: Cross multiply
    15,971.16x = 23,945.64 × 7,081.68
  4. Step 4: Simplify right side
    15,971.16x = 169,575,359.88
  5. Step 5: Solve for x
    x = 169,575,359.88/15,971.16
  6. Step 6: Final answer
    x = 10,617.60

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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.