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Finding the Fourth Proportional to 3,158.04, 4,737 and 786.09

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Solution

The fourth proportional to 3,158.04, 4,737 and 786.09 is: 1,179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.04 : 4,737 = 786.09 : x
  2. Step 2: Convert to fraction form
    3,158.04/4,737 = 786.09/x
  3. Step 3: Cross multiply
    3,158.04x = 4,737 × 786.09
  4. Step 4: Simplify right side
    3,158.04x = 3,723,708.33
  5. Step 5: Solve for x
    x = 3,723,708.33/3,158.04
  6. Step 6: Final answer
    x = 1,179.12

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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.