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Finding the Fourth Proportional to 10,883.06, 15,019.83 and 6,407.93

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Solution

The fourth proportional to 10,883.06, 15,019.83 and 6,407.93 is: 8,843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.06 : 15,019.83 = 6,407.93 : x
  2. Step 2: Convert to fraction form
    10,883.06/15,019.83 = 6,407.93/x
  3. Step 3: Cross multiply
    10,883.06x = 15,019.83 × 6,407.93
  4. Step 4: Simplify right side
    10,883.06x = 96,245,944.15
  5. Step 5: Solve for x
    x = 96,245,944.15/10,883.06
  6. Step 6: Final answer
    x = 8,843.65

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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.