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Finding the Fourth Proportional to 5,157.88, 7,737.44 and 1,872.52

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Solution

The fourth proportional to 5,157.88, 7,737.44 and 1,872.52 is: 2,809.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.88 : 7,737.44 = 1,872.52 : x
  2. Step 2: Convert to fraction form
    5,157.88/7,737.44 = 1,872.52/x
  3. Step 3: Cross multiply
    5,157.88x = 7,737.44 × 1,872.52
  4. Step 4: Simplify right side
    5,157.88x = 14,488,511.15
  5. Step 5: Solve for x
    x = 14,488,511.15/5,157.88
  6. Step 6: Final answer
    x = 2,809.01

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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.