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Finding the Fourth Proportional to 21,253.22, 31,859.07 and 7,916.45

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Solution

The fourth proportional to 21,253.22, 31,859.07 and 7,916.45 is: 11,866.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,253.22 : 31,859.07 = 7,916.45 : x
  2. Step 2: Convert to fraction form
    21,253.22/31,859.07 = 7,916.45/x
  3. Step 3: Cross multiply
    21,253.22x = 31,859.07 × 7,916.45
  4. Step 4: Simplify right side
    21,253.22x = 252,210,584.96
  5. Step 5: Solve for x
    x = 252,210,584.96/21,253.22
  6. Step 6: Final answer
    x = 11,866.94

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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.