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Finding the Fourth Proportional to 25,603, 35,299.74 and 21,049

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Solution

The fourth proportional to 25,603, 35,299.74 and 21,049 is: 29,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,603 : 35,299.74 = 21,049 : x
  2. Step 2: Convert to fraction form
    25,603/35,299.74 = 21,049/x
  3. Step 3: Cross multiply
    25,603x = 35,299.74 × 21,049
  4. Step 4: Simplify right side
    25,603x = 743,024,227.26
  5. Step 5: Solve for x
    x = 743,024,227.26/25,603
  6. Step 6: Final answer
    x = 29,020.98

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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.