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Finding the Fourth Proportional to 3,708.76, 5,564.04 and 1,243.60

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Solution

The fourth proportional to 3,708.76, 5,564.04 and 1,243.60 is: 1,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.76 : 5,564.04 = 1,243.60 : x
  2. Step 2: Convert to fraction form
    3,708.76/5,564.04 = 1,243.60/x
  3. Step 3: Cross multiply
    3,708.76x = 5,564.04 × 1,243.60
  4. Step 4: Simplify right side
    3,708.76x = 6,919,440.14
  5. Step 5: Solve for x
    x = 6,919,440.14/3,708.76
  6. Step 6: Final answer
    x = 1,865.70

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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.