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Finding the Fourth Proportional to 3,605.90, 5,408.91 and 1,140.74

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Solution

The fourth proportional to 3,605.90, 5,408.91 and 1,140.74 is: 1,711.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.90 : 5,408.91 = 1,140.74 : x
  2. Step 2: Convert to fraction form
    3,605.90/5,408.91 = 1,140.74/x
  3. Step 3: Cross multiply
    3,605.90x = 5,408.91 × 1,140.74
  4. Step 4: Simplify right side
    3,605.90x = 6,170,154.29
  5. Step 5: Solve for x
    x = 6,170,154.29/3,605.90
  6. Step 6: Final answer
    x = 1,711.13

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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.