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Finding the Fourth Proportional to 5,158.12, 7,737.96 and 1,871.98

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Solution

The fourth proportional to 5,158.12, 7,737.96 and 1,871.98 is: 2,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.12 : 7,737.96 = 1,871.98 : x
  2. Step 2: Convert to fraction form
    5,158.12/7,737.96 = 1,871.98/x
  3. Step 3: Cross multiply
    5,158.12x = 7,737.96 × 1,871.98
  4. Step 4: Simplify right side
    5,158.12x = 14,485,306.36
  5. Step 5: Solve for x
    x = 14,485,306.36/5,158.12
  6. Step 6: Final answer
    x = 2,808.25

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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.