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Finding the Fourth Proportional to 11,881.02, 17,821.99 and 5,307.27

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Solution

The fourth proportional to 11,881.02, 17,821.99 and 5,307.27 is: 7,961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.02 : 17,821.99 = 5,307.27 : x
  2. Step 2: Convert to fraction form
    11,881.02/17,821.99 = 5,307.27/x
  3. Step 3: Cross multiply
    11,881.02x = 17,821.99 × 5,307.27
  4. Step 4: Simplify right side
    11,881.02x = 94,586,052.67
  5. Step 5: Solve for x
    x = 94,586,052.67/11,881.02
  6. Step 6: Final answer
    x = 7,961.10

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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.