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Finding the Fourth Proportional to 9,103.68, 13,655.79 and 3,556.80

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Solution

The fourth proportional to 9,103.68, 13,655.79 and 3,556.80 is: 5,335.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.68 : 13,655.79 = 3,556.80 : x
  2. Step 2: Convert to fraction form
    9,103.68/13,655.79 = 3,556.80/x
  3. Step 3: Cross multiply
    9,103.68x = 13,655.79 × 3,556.80
  4. Step 4: Simplify right side
    9,103.68x = 48,570,913.87
  5. Step 5: Solve for x
    x = 48,570,913.87/9,103.68
  6. Step 6: Final answer
    x = 5,335.31

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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.