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Finding the Fourth Proportional to 21,525, 29,716.68 and 13,978.08

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Solution

The fourth proportional to 21,525, 29,716.68 and 13,978.08 is: 19,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,525 : 29,716.68 = 13,978.08 : x
  2. Step 2: Convert to fraction form
    21,525/29,716.68 = 13,978.08/x
  3. Step 3: Cross multiply
    21,525x = 29,716.68 × 13,978.08
  4. Step 4: Simplify right side
    21,525x = 415,382,130.37
  5. Step 5: Solve for x
    x = 415,382,130.37/21,525
  6. Step 6: Final answer
    x = 19,297.66

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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.