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Finding the Fourth Proportional to 23,578.46, 35,356.74 and 13,720.56

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Solution

The fourth proportional to 23,578.46, 35,356.74 and 13,720.56 is: 20,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,578.46 : 35,356.74 = 13,720.56 : x
  2. Step 2: Convert to fraction form
    23,578.46/35,356.74 = 13,720.56/x
  3. Step 3: Cross multiply
    23,578.46x = 35,356.74 × 13,720.56
  4. Step 4: Simplify right side
    23,578.46x = 485,114,272.57
  5. Step 5: Solve for x
    x = 485,114,272.57/23,578.46
  6. Step 6: Final answer
    x = 20,574.47

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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.