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Finding the Fourth Proportional to 5,604.88, 8,408.28 and 1,709.20

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Solution

The fourth proportional to 5,604.88, 8,408.28 and 1,709.20 is: 2,564.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.88 : 8,408.28 = 1,709.20 : x
  2. Step 2: Convert to fraction form
    5,604.88/8,408.28 = 1,709.20/x
  3. Step 3: Cross multiply
    5,604.88x = 8,408.28 × 1,709.20
  4. Step 4: Simplify right side
    5,604.88x = 14,371,432.18
  5. Step 5: Solve for x
    x = 14,371,432.18/5,604.88
  6. Step 6: Final answer
    x = 2,564.09

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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.