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Finding the Fourth Proportional to 7,172, 10,758.96 and 3,068.96

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Solution

The fourth proportional to 7,172, 10,758.96 and 3,068.96 is: 4,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172 : 10,758.96 = 3,068.96 : x
  2. Step 2: Convert to fraction form
    7,172/10,758.96 = 3,068.96/x
  3. Step 3: Cross multiply
    7,172x = 10,758.96 × 3,068.96
  4. Step 4: Simplify right side
    7,172x = 33,018,817.88
  5. Step 5: Solve for x
    x = 33,018,817.88/7,172
  6. Step 6: Final answer
    x = 4,603.85

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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.