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Finding the Fourth Proportional to 15,773.88, 21,764.93 and 9,486.66

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Solution

The fourth proportional to 15,773.88, 21,764.93 and 9,486.66 is: 13,089.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773.88 : 21,764.93 = 9,486.66 : x
  2. Step 2: Convert to fraction form
    15,773.88/21,764.93 = 9,486.66/x
  3. Step 3: Cross multiply
    15,773.88x = 21,764.93 × 9,486.66
  4. Step 4: Simplify right side
    15,773.88x = 206,476,443.40
  5. Step 5: Solve for x
    x = 206,476,443.40/15,773.88
  6. Step 6: Final answer
    x = 13,089.77

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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.