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Finding the Fourth Proportional to 3,748.80, 5,624.64 and 1,802.64

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Solution

The fourth proportional to 3,748.80, 5,624.64 and 1,802.64 is: 2,704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.80 : 5,624.64 = 1,802.64 : x
  2. Step 2: Convert to fraction form
    3,748.80/5,624.64 = 1,802.64/x
  3. Step 3: Cross multiply
    3,748.80x = 5,624.64 × 1,802.64
  4. Step 4: Simplify right side
    3,748.80x = 10,139,201.05
  5. Step 5: Solve for x
    x = 10,139,201.05/3,748.80
  6. Step 6: Final answer
    x = 2,704.65

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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.