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Finding the Fourth Proportional to 7,197.57, 9,936.95 and 5,206.05

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Solution

The fourth proportional to 7,197.57, 9,936.95 and 5,206.05 is: 7,187.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.57 : 9,936.95 = 5,206.05 : x
  2. Step 2: Convert to fraction form
    7,197.57/9,936.95 = 5,206.05/x
  3. Step 3: Cross multiply
    7,197.57x = 9,936.95 × 5,206.05
  4. Step 4: Simplify right side
    7,197.57x = 51,732,232.52
  5. Step 5: Solve for x
    x = 51,732,232.52/7,197.57
  6. Step 6: Final answer
    x = 7,187.46

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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.