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Finding the Fourth Proportional to 7,157.03, 10,737.72 and 3,458.57

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Solution

The fourth proportional to 7,157.03, 10,737.72 and 3,458.57 is: 5,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.03 : 10,737.72 = 3,458.57 : x
  2. Step 2: Convert to fraction form
    7,157.03/10,737.72 = 3,458.57/x
  3. Step 3: Cross multiply
    7,157.03x = 10,737.72 × 3,458.57
  4. Step 4: Simplify right side
    7,157.03x = 37,137,102.57
  5. Step 5: Solve for x
    x = 37,137,102.57/7,157.03
  6. Step 6: Final answer
    x = 5,188.90

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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.