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Finding the Fourth Proportional to 9,098.92, 12,556.48 and 5,120

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Solution

The fourth proportional to 9,098.92, 12,556.48 and 5,120 is: 7,065.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.92 : 12,556.48 = 5,120 : x
  2. Step 2: Convert to fraction form
    9,098.92/12,556.48 = 5,120/x
  3. Step 3: Cross multiply
    9,098.92x = 12,556.48 × 5,120
  4. Step 4: Simplify right side
    9,098.92x = 64,289,177.60
  5. Step 5: Solve for x
    x = 64,289,177.60/9,098.92
  6. Step 6: Final answer
    x = 7,065.58

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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.