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Finding the Fourth Proportional to 13,114.54, 19,672.50 and 5,719.51

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Solution

The fourth proportional to 13,114.54, 19,672.50 and 5,719.51 is: 8,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.54 : 19,672.50 = 5,719.51 : x
  2. Step 2: Convert to fraction form
    13,114.54/19,672.50 = 5,719.51/x
  3. Step 3: Cross multiply
    13,114.54x = 19,672.50 × 5,719.51
  4. Step 4: Simplify right side
    13,114.54x = 112,517,060.48
  5. Step 5: Solve for x
    x = 112,517,060.48/13,114.54
  6. Step 6: Final answer
    x = 8,579.57

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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.