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Finding the Fourth Proportional to 14,171.64, 19,557.63 and 7,884.15

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Solution

The fourth proportional to 14,171.64, 19,557.63 and 7,884.15 is: 10,880.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,171.64 : 19,557.63 = 7,884.15 : x
  2. Step 2: Convert to fraction form
    14,171.64/19,557.63 = 7,884.15/x
  3. Step 3: Cross multiply
    14,171.64x = 19,557.63 × 7,884.15
  4. Step 4: Simplify right side
    14,171.64x = 154,195,288.56
  5. Step 5: Solve for x
    x = 154,195,288.56/14,171.64
  6. Step 6: Final answer
    x = 10,880.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.