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Finding the Fourth Proportional to 21,603, 32,407.74 and 7,755.24

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Solution

The fourth proportional to 21,603, 32,407.74 and 7,755.24 is: 11,634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,603 : 32,407.74 = 7,755.24 : x
  2. Step 2: Convert to fraction form
    21,603/32,407.74 = 7,755.24/x
  3. Step 3: Cross multiply
    21,603x = 32,407.74 × 7,755.24
  4. Step 4: Simplify right side
    21,603x = 251,329,801.56
  5. Step 5: Solve for x
    x = 251,329,801.56/21,603
  6. Step 6: Final answer
    x = 11,634.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.