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Finding the Fourth Proportional to 7,012, 10,519.44 and 2,908

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Solution

The fourth proportional to 7,012, 10,519.44 and 2,908 is: 4,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012 : 10,519.44 = 2,908 : x
  2. Step 2: Convert to fraction form
    7,012/10,519.44 = 2,908/x
  3. Step 3: Cross multiply
    7,012x = 10,519.44 × 2,908
  4. Step 4: Simplify right side
    7,012x = 30,590,531.52
  5. Step 5: Solve for x
    x = 30,590,531.52/7,012
  6. Step 6: Final answer
    x = 4,362.60

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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.