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Finding the Fourth Proportional to 15,883.16, 23,837.85 and 7,987.92

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Solution

The fourth proportional to 15,883.16, 23,837.85 and 7,987.92 is: 11,988.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,883.16 : 23,837.85 = 7,987.92 : x
  2. Step 2: Convert to fraction form
    15,883.16/23,837.85 = 7,987.92/x
  3. Step 3: Cross multiply
    15,883.16x = 23,837.85 × 7,987.92
  4. Step 4: Simplify right side
    15,883.16x = 190,414,838.77
  5. Step 5: Solve for x
    x = 190,414,838.77/15,883.16
  6. Step 6: Final answer
    x = 11,988.48

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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.