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Finding the Fourth Proportional to 21,252.74, 31,878.74 and 7,401.38

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Solution

The fourth proportional to 21,252.74, 31,878.74 and 7,401.38 is: 11,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,252.74 : 31,878.74 = 7,401.38 : x
  2. Step 2: Convert to fraction form
    21,252.74/31,878.74 = 7,401.38/x
  3. Step 3: Cross multiply
    21,252.74x = 31,878.74 × 7,401.38
  4. Step 4: Simplify right side
    21,252.74x = 235,946,472.26
  5. Step 5: Solve for x
    x = 235,946,472.26/21,252.74
  6. Step 6: Final answer
    x = 11,101.93

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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.