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Finding the Fourth Proportional to 21,311.17, 31,981.03 and 7,460.17

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Solution

The fourth proportional to 21,311.17, 31,981.03 and 7,460.17 is: 11,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,311.17 : 31,981.03 = 7,460.17 : x
  2. Step 2: Convert to fraction form
    21,311.17/31,981.03 = 7,460.17/x
  3. Step 3: Cross multiply
    21,311.17x = 31,981.03 × 7,460.17
  4. Step 4: Simplify right side
    21,311.17x = 238,583,821.97
  5. Step 5: Solve for x
    x = 238,583,821.97/21,311.17
  6. Step 6: Final answer
    x = 11,195.25

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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.