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Finding the Fourth Proportional to 7,114.95, 10,672.42 and 1,920.82

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Solution

The fourth proportional to 7,114.95, 10,672.42 and 1,920.82 is: 2,881.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.95 : 10,672.42 = 1,920.82 : x
  2. Step 2: Convert to fraction form
    7,114.95/10,672.42 = 1,920.82/x
  3. Step 3: Cross multiply
    7,114.95x = 10,672.42 × 1,920.82
  4. Step 4: Simplify right side
    7,114.95x = 20,499,797.78
  5. Step 5: Solve for x
    x = 20,499,797.78/7,114.95
  6. Step 6: Final answer
    x = 2,881.23

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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.