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Finding the Fourth Proportional to 9,999.42, 13,800.90 and 9,556.58

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Solution

The fourth proportional to 9,999.42, 13,800.90 and 9,556.58 is: 13,189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.42 : 13,800.90 = 9,556.58 : x
  2. Step 2: Convert to fraction form
    9,999.42/13,800.90 = 9,556.58/x
  3. Step 3: Cross multiply
    9,999.42x = 13,800.90 × 9,556.58
  4. Step 4: Simplify right side
    9,999.42x = 131,889,404.92
  5. Step 5: Solve for x
    x = 131,889,404.92/9,999.42
  6. Step 6: Final answer
    x = 13,189.71

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1.5x scale

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.