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Finding the Fourth Proportional to 5,608.81, 8,407.86 and 2,097.87

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Solution

The fourth proportional to 5,608.81, 8,407.86 and 2,097.87 is: 3,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.81 : 8,407.86 = 2,097.87 : x
  2. Step 2: Convert to fraction form
    5,608.81/8,407.86 = 2,097.87/x
  3. Step 3: Cross multiply
    5,608.81x = 8,407.86 × 2,097.87
  4. Step 4: Simplify right side
    5,608.81x = 17,638,597.26
  5. Step 5: Solve for x
    x = 17,638,597.26/5,608.81
  6. Step 6: Final answer
    x = 3,144.80

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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.