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Finding the Fourth Proportional to 5,605.61, 8,408.41 and 2,972.57

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Solution

The fourth proportional to 5,605.61, 8,408.41 and 2,972.57 is: 4,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.61 : 8,408.41 = 2,972.57 : x
  2. Step 2: Convert to fraction form
    5,605.61/8,408.41 = 2,972.57/x
  3. Step 3: Cross multiply
    5,605.61x = 8,408.41 × 2,972.57
  4. Step 4: Simplify right side
    5,605.61x = 24,994,537.84
  5. Step 5: Solve for x
    x = 24,994,537.84/5,605.61
  6. Step 6: Final answer
    x = 4,458.85

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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.