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Finding the Fourth Proportional to 12,572.25, 18,858.48 and 3,807.87

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Solution

The fourth proportional to 12,572.25, 18,858.48 and 3,807.87 is: 5,711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.25 : 18,858.48 = 3,807.87 : x
  2. Step 2: Convert to fraction form
    12,572.25/18,858.48 = 3,807.87/x
  3. Step 3: Cross multiply
    12,572.25x = 18,858.48 × 3,807.87
  4. Step 4: Simplify right side
    12,572.25x = 71,810,640.24
  5. Step 5: Solve for x
    x = 71,810,640.24/12,572.25
  6. Step 6: Final answer
    x = 5,711.84

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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.