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Finding the Fourth Proportional to 5,158.33, 7,737.48 and 1,871.41

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Solution

The fourth proportional to 5,158.33, 7,737.48 and 1,871.41 is: 2,807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.33 : 7,737.48 = 1,871.41 : x
  2. Step 2: Convert to fraction form
    5,158.33/7,737.48 = 1,871.41/x
  3. Step 3: Cross multiply
    5,158.33x = 7,737.48 × 1,871.41
  4. Step 4: Simplify right side
    5,158.33x = 14,479,997.45
  5. Step 5: Solve for x
    x = 14,479,997.45/5,158.33
  6. Step 6: Final answer
    x = 2,807.11

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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.