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Finding the Fourth Proportional to 21,384, 29,524.50 and 13,015.08

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Solution

The fourth proportional to 21,384, 29,524.50 and 13,015.08 is: 17,969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384 : 29,524.50 = 13,015.08 : x
  2. Step 2: Convert to fraction form
    21,384/29,524.50 = 13,015.08/x
  3. Step 3: Cross multiply
    21,384x = 29,524.50 × 13,015.08
  4. Step 4: Simplify right side
    21,384x = 384,263,729.46
  5. Step 5: Solve for x
    x = 384,263,729.46/21,384
  6. Step 6: Final answer
    x = 17,969.68

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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.