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Finding the Fourth Proportional to 3,447.86, 5,172.39 and 1,501.43

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Solution

The fourth proportional to 3,447.86, 5,172.39 and 1,501.43 is: 2,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.86 : 5,172.39 = 1,501.43 : x
  2. Step 2: Convert to fraction form
    3,447.86/5,172.39 = 1,501.43/x
  3. Step 3: Cross multiply
    3,447.86x = 5,172.39 × 1,501.43
  4. Step 4: Simplify right side
    3,447.86x = 7,765,955.66
  5. Step 5: Solve for x
    x = 7,765,955.66/3,447.86
  6. Step 6: Final answer
    x = 2,252.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.