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Finding the Fourth Proportional to 15,441.76, 23,161.74 and 5,578.48

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Solution

The fourth proportional to 15,441.76, 23,161.74 and 5,578.48 is: 8,367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,441.76 : 23,161.74 = 5,578.48 : x
  2. Step 2: Convert to fraction form
    15,441.76/23,161.74 = 5,578.48/x
  3. Step 3: Cross multiply
    15,441.76x = 23,161.74 × 5,578.48
  4. Step 4: Simplify right side
    15,441.76x = 129,207,303.36
  5. Step 5: Solve for x
    x = 129,207,303.36/15,441.76
  6. Step 6: Final answer
    x = 8,367.39

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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.