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Finding the Fourth Proportional to 3,720.14, 5,580.05 and 1,123

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Solution

The fourth proportional to 3,720.14, 5,580.05 and 1,123 is: 1,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.14 : 5,580.05 = 1,123 : x
  2. Step 2: Convert to fraction form
    3,720.14/5,580.05 = 1,123/x
  3. Step 3: Cross multiply
    3,720.14x = 5,580.05 × 1,123
  4. Step 4: Simplify right side
    3,720.14x = 6,266,396.15
  5. Step 5: Solve for x
    x = 6,266,396.15/3,720.14
  6. Step 6: Final answer
    x = 1,684.45

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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.