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Finding the Fourth Proportional to 5,605, 8,409.34 and 1,709.42

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Solution

The fourth proportional to 5,605, 8,409.34 and 1,709.42 is: 2,564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605 : 8,409.34 = 1,709.42 : x
  2. Step 2: Convert to fraction form
    5,605/8,409.34 = 1,709.42/x
  3. Step 3: Cross multiply
    5,605x = 8,409.34 × 1,709.42
  4. Step 4: Simplify right side
    5,605x = 14,375,093.98
  5. Step 5: Solve for x
    x = 14,375,093.98/5,605
  6. Step 6: Final answer
    x = 2,564.69

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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.