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Finding the Fourth Proportional to 5,605.08, 8,408.86 and 1,709.80

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Solution

The fourth proportional to 5,605.08, 8,408.86 and 1,709.80 is: 2,565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.08 : 8,408.86 = 1,709.80 : x
  2. Step 2: Convert to fraction form
    5,605.08/8,408.86 = 1,709.80/x
  3. Step 3: Cross multiply
    5,605.08x = 8,408.86 × 1,709.80
  4. Step 4: Simplify right side
    5,605.08x = 14,377,468.83
  5. Step 5: Solve for x
    x = 14,377,468.83/5,605.08
  6. Step 6: Final answer
    x = 2,565.08

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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.