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Finding the Fourth Proportional to 6,658.47, 9,189.81 and 6,363.23

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Solution

The fourth proportional to 6,658.47, 9,189.81 and 6,363.23 is: 8,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.47 : 9,189.81 = 6,363.23 : x
  2. Step 2: Convert to fraction form
    6,658.47/9,189.81 = 6,363.23/x
  3. Step 3: Cross multiply
    6,658.47x = 9,189.81 × 6,363.23
  4. Step 4: Simplify right side
    6,658.47x = 58,476,828.74
  5. Step 5: Solve for x
    x = 58,476,828.74/6,658.47
  6. Step 6: Final answer
    x = 8,782.32

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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.