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Finding the Fourth Proportional to 3,720, 5,580.90 and 1,122.96

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Solution

The fourth proportional to 3,720, 5,580.90 and 1,122.96 is: 1,684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720 : 5,580.90 = 1,122.96 : x
  2. Step 2: Convert to fraction form
    3,720/5,580.90 = 1,122.96/x
  3. Step 3: Cross multiply
    3,720x = 5,580.90 × 1,122.96
  4. Step 4: Simplify right side
    3,720x = 6,267,127.46
  5. Step 5: Solve for x
    x = 6,267,127.46/3,720
  6. Step 6: Final answer
    x = 1,684.71

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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.