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Finding the Fourth Proportional to 7,134.53, 10,702.53 and 2,972.21

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Solution

The fourth proportional to 7,134.53, 10,702.53 and 2,972.21 is: 4,458.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.53 : 10,702.53 = 2,972.21 : x
  2. Step 2: Convert to fraction form
    7,134.53/10,702.53 = 2,972.21/x
  3. Step 3: Cross multiply
    7,134.53x = 10,702.53 × 2,972.21
  4. Step 4: Simplify right side
    7,134.53x = 31,810,113.18
  5. Step 5: Solve for x
    x = 31,810,113.18/7,134.53
  6. Step 6: Final answer
    x = 4,458.62

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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.