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Finding the Fourth Proportional to 3,157.88, 4,737.42 and 1,426.50

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Solution

The fourth proportional to 3,157.88, 4,737.42 and 1,426.50 is: 2,140.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.88 : 4,737.42 = 1,426.50 : x
  2. Step 2: Convert to fraction form
    3,157.88/4,737.42 = 1,426.50/x
  3. Step 3: Cross multiply
    3,157.88x = 4,737.42 × 1,426.50
  4. Step 4: Simplify right side
    3,157.88x = 6,757,929.63
  5. Step 5: Solve for x
    x = 6,757,929.63/3,157.88
  6. Step 6: Final answer
    x = 2,140.02

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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.