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Finding the Fourth Proportional to 5,409.88, 8,114.87 and 2,123.30

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Solution

The fourth proportional to 5,409.88, 8,114.87 and 2,123.30 is: 3,184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.88 : 8,114.87 = 2,123.30 : x
  2. Step 2: Convert to fraction form
    5,409.88/8,114.87 = 2,123.30/x
  3. Step 3: Cross multiply
    5,409.88x = 8,114.87 × 2,123.30
  4. Step 4: Simplify right side
    5,409.88x = 17,230,303.47
  5. Step 5: Solve for x
    x = 17,230,303.47/5,409.88
  6. Step 6: Final answer
    x = 3,184.97

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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.