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Finding the Fourth Proportional to 5,609.69, 8,409.17 and 2,098.74

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Solution

The fourth proportional to 5,609.69, 8,409.17 and 2,098.74 is: 3,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.69 : 8,409.17 = 2,098.74 : x
  2. Step 2: Convert to fraction form
    5,609.69/8,409.17 = 2,098.74/x
  3. Step 3: Cross multiply
    5,609.69x = 8,409.17 × 2,098.74
  4. Step 4: Simplify right side
    5,609.69x = 17,648,661.45
  5. Step 5: Solve for x
    x = 17,648,661.45/5,609.69
  6. Step 6: Final answer
    x = 3,146.10

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1.5x scale

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.