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Finding the Fourth Proportional to 21,256.74, 31,884.74 and 7,405.38

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Solution

The fourth proportional to 21,256.74, 31,884.74 and 7,405.38 is: 11,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,256.74 : 31,884.74 = 7,405.38 : x
  2. Step 2: Convert to fraction form
    21,256.74/31,884.74 = 7,405.38/x
  3. Step 3: Cross multiply
    21,256.74x = 31,884.74 × 7,405.38
  4. Step 4: Simplify right side
    21,256.74x = 236,118,615.90
  5. Step 5: Solve for x
    x = 236,118,615.90/21,256.74
  6. Step 6: Final answer
    x = 11,107.94

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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.