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Finding the Fourth Proportional to 4,748.81, 7,121.46 and 2,775.11

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Solution

The fourth proportional to 4,748.81, 7,121.46 and 2,775.11 is: 4,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.81 : 7,121.46 = 2,775.11 : x
  2. Step 2: Convert to fraction form
    4,748.81/7,121.46 = 2,775.11/x
  3. Step 3: Cross multiply
    4,748.81x = 7,121.46 × 2,775.11
  4. Step 4: Simplify right side
    4,748.81x = 19,762,834.86
  5. Step 5: Solve for x
    x = 19,762,834.86/4,748.81
  6. Step 6: Final answer
    x = 4,161.64

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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.