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Finding the Fourth Proportional to 8,228.16, 11,360.16 and 7,342.44

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Solution

The fourth proportional to 8,228.16, 11,360.16 and 7,342.44 is: 10,137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.16 : 11,360.16 = 7,342.44 : x
  2. Step 2: Convert to fraction form
    8,228.16/11,360.16 = 7,342.44/x
  3. Step 3: Cross multiply
    8,228.16x = 11,360.16 × 7,342.44
  4. Step 4: Simplify right side
    8,228.16x = 83,411,293.19
  5. Step 5: Solve for x
    x = 83,411,293.19/8,228.16
  6. Step 6: Final answer
    x = 10,137.30

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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.