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Finding the Fourth Proportional to 12,572, 18,858.91 and 3,807.60

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Solution

The fourth proportional to 12,572, 18,858.91 and 3,807.60 is: 5,711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572 : 18,858.91 = 3,807.60 : x
  2. Step 2: Convert to fraction form
    12,572/18,858.91 = 3,807.60/x
  3. Step 3: Cross multiply
    12,572x = 18,858.91 × 3,807.60
  4. Step 4: Simplify right side
    12,572x = 71,807,185.72
  5. Step 5: Solve for x
    x = 71,807,185.72/12,572
  6. Step 6: Final answer
    x = 5,711.68

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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.