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Finding the Fourth Proportional to 21,120, 29,119.08 and 13,552.98

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Solution

The fourth proportional to 21,120, 29,119.08 and 13,552.98 is: 18,686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,120 : 29,119.08 = 13,552.98 : x
  2. Step 2: Convert to fraction form
    21,120/29,119.08 = 13,552.98/x
  3. Step 3: Cross multiply
    21,120x = 29,119.08 × 13,552.98
  4. Step 4: Simplify right side
    21,120x = 394,650,308.86
  5. Step 5: Solve for x
    x = 394,650,308.86/21,120
  6. Step 6: Final answer
    x = 18,686.09

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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.