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Finding the Fourth Proportional to 5,150.40, 7,737.12 and 4,956

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Solution

The fourth proportional to 5,150.40, 7,737.12 and 4,956 is: 7,445.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.40 : 7,737.12 = 4,956 : x
  2. Step 2: Convert to fraction form
    5,150.40/7,737.12 = 4,956/x
  3. Step 3: Cross multiply
    5,150.40x = 7,737.12 × 4,956
  4. Step 4: Simplify right side
    5,150.40x = 38,345,166.72
  5. Step 5: Solve for x
    x = 38,345,166.72/5,150.40
  6. Step 6: Final answer
    x = 7,445.09

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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.