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Finding the Fourth Proportional to 6,189.73, 8,543.47 and 3,830.53

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Solution

The fourth proportional to 6,189.73, 8,543.47 and 3,830.53 is: 5,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.73 : 8,543.47 = 3,830.53 : x
  2. Step 2: Convert to fraction form
    6,189.73/8,543.47 = 3,830.53/x
  3. Step 3: Cross multiply
    6,189.73x = 8,543.47 × 3,830.53
  4. Step 4: Simplify right side
    6,189.73x = 32,726,018.14
  5. Step 5: Solve for x
    x = 32,726,018.14/6,189.73
  6. Step 6: Final answer
    x = 5,287.15

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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.