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Finding the Fourth Proportional to 11,921.16, 17,870.50 and 5,677.89

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Solution

The fourth proportional to 11,921.16, 17,870.50 and 5,677.89 is: 8,511.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,921.16 : 17,870.50 = 5,677.89 : x
  2. Step 2: Convert to fraction form
    11,921.16/17,870.50 = 5,677.89/x
  3. Step 3: Cross multiply
    11,921.16x = 17,870.50 × 5,677.89
  4. Step 4: Simplify right side
    11,921.16x = 101,466,733.25
  5. Step 5: Solve for x
    x = 101,466,733.25/11,921.16
  6. Step 6: Final answer
    x = 8,511.48

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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.