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Finding the Fourth Proportional to 7,205.18, 9,944.24 and 5,215.01

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Solution

The fourth proportional to 7,205.18, 9,944.24 and 5,215.01 is: 7,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.18 : 9,944.24 = 5,215.01 : x
  2. Step 2: Convert to fraction form
    7,205.18/9,944.24 = 5,215.01/x
  3. Step 3: Cross multiply
    7,205.18x = 9,944.24 × 5,215.01
  4. Step 4: Simplify right side
    7,205.18x = 51,859,235.25
  5. Step 5: Solve for x
    x = 51,859,235.25/7,205.18
  6. Step 6: Final answer
    x = 7,197.50

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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.