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Finding the Fourth Proportional to 10,403.64, 15,603.84 and 3,824.82

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Solution

The fourth proportional to 10,403.64, 15,603.84 and 3,824.82 is: 5,736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.64 : 15,603.84 = 3,824.82 : x
  2. Step 2: Convert to fraction form
    10,403.64/15,603.84 = 3,824.82/x
  3. Step 3: Cross multiply
    10,403.64x = 15,603.84 × 3,824.82
  4. Step 4: Simplify right side
    10,403.64x = 59,681,879.31
  5. Step 5: Solve for x
    x = 59,681,879.31/10,403.64
  6. Step 6: Final answer
    x = 5,736.63

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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.