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Finding the Fourth Proportional to 15,871.35, 23,804.02 and 7,971.75

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Solution

The fourth proportional to 15,871.35, 23,804.02 and 7,971.75 is: 11,956.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,871.35 : 23,804.02 = 7,971.75 : x
  2. Step 2: Convert to fraction form
    15,871.35/23,804.02 = 7,971.75/x
  3. Step 3: Cross multiply
    15,871.35x = 23,804.02 × 7,971.75
  4. Step 4: Simplify right side
    15,871.35x = 189,759,736.02
  5. Step 5: Solve for x
    x = 189,759,736.02/15,871.35
  6. Step 6: Final answer
    x = 11,956.12

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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.