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Finding the Fourth Proportional to 9,855.58, 14,778.28 and 3,613.99

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Solution

The fourth proportional to 9,855.58, 14,778.28 and 3,613.99 is: 5,419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.58 : 14,778.28 = 3,613.99 : x
  2. Step 2: Convert to fraction form
    9,855.58/14,778.28 = 3,613.99/x
  3. Step 3: Cross multiply
    9,855.58x = 14,778.28 × 3,613.99
  4. Step 4: Simplify right side
    9,855.58x = 53,408,556.14
  5. Step 5: Solve for x
    x = 53,408,556.14/9,855.58
  6. Step 6: Final answer
    x = 5,419.12

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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.