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Finding the Fourth Proportional to 3,924, 5,403.13 and 3,610.53

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Solution

The fourth proportional to 3,924, 5,403.13 and 3,610.53 is: 4,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924 : 5,403.13 = 3,610.53 : x
  2. Step 2: Convert to fraction form
    3,924/5,403.13 = 3,610.53/x
  3. Step 3: Cross multiply
    3,924x = 5,403.13 × 3,610.53
  4. Step 4: Simplify right side
    3,924x = 19,508,162.96
  5. Step 5: Solve for x
    x = 19,508,162.96/3,924
  6. Step 6: Final answer
    x = 4,971.50

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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.