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Finding the Fourth Proportional to 12,602.14, 18,896.05 and 5,200.45

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Solution

The fourth proportional to 12,602.14, 18,896.05 and 5,200.45 is: 7,797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.14 : 18,896.05 = 5,200.45 : x
  2. Step 2: Convert to fraction form
    12,602.14/18,896.05 = 5,200.45/x
  3. Step 3: Cross multiply
    12,602.14x = 18,896.05 × 5,200.45
  4. Step 4: Simplify right side
    12,602.14x = 98,267,963.22
  5. Step 5: Solve for x
    x = 98,267,963.22/12,602.14
  6. Step 6: Final answer
    x = 7,797.72

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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.