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Finding the Fourth Proportional to 21,040.92, 31,552.16 and 7,884.08

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Solution

The fourth proportional to 21,040.92, 31,552.16 and 7,884.08 is: 11,822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,040.92 : 31,552.16 = 7,884.08 : x
  2. Step 2: Convert to fraction form
    21,040.92/31,552.16 = 7,884.08/x
  3. Step 3: Cross multiply
    21,040.92x = 31,552.16 × 7,884.08
  4. Step 4: Simplify right side
    21,040.92x = 248,759,753.61
  5. Step 5: Solve for x
    x = 248,759,753.61/21,040.92
  6. Step 6: Final answer
    x = 11,822.67

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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.