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Finding the Fourth Proportional to 7,172, 10,758.64 and 2,789.76

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Solution

The fourth proportional to 7,172, 10,758.64 and 2,789.76 is: 4,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172 : 10,758.64 = 2,789.76 : x
  2. Step 2: Convert to fraction form
    7,172/10,758.64 = 2,789.76/x
  3. Step 3: Cross multiply
    7,172x = 10,758.64 × 2,789.76
  4. Step 4: Simplify right side
    7,172x = 30,014,023.53
  5. Step 5: Solve for x
    x = 30,014,023.53/7,172
  6. Step 6: Final answer
    x = 4,184.89

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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.