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Finding the Fourth Proportional to 13,808.82, 19,056 and 7,521.21

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Solution

The fourth proportional to 13,808.82, 19,056 and 7,521.21 is: 10,379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.82 : 19,056 = 7,521.21 : x
  2. Step 2: Convert to fraction form
    13,808.82/19,056 = 7,521.21/x
  3. Step 3: Cross multiply
    13,808.82x = 19,056 × 7,521.21
  4. Step 4: Simplify right side
    13,808.82x = 143,324,177.76
  5. Step 5: Solve for x
    x = 143,324,177.76/13,808.82
  6. Step 6: Final answer
    x = 10,379.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.