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Finding the Fourth Proportional to 8,303.22, 11,457.54 and 5,115.96

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Solution

The fourth proportional to 8,303.22, 11,457.54 and 5,115.96 is: 7,059.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.22 : 11,457.54 = 5,115.96 : x
  2. Step 2: Convert to fraction form
    8,303.22/11,457.54 = 5,115.96/x
  3. Step 3: Cross multiply
    8,303.22x = 11,457.54 × 5,115.96
  4. Step 4: Simplify right side
    8,303.22x = 58,616,316.34
  5. Step 5: Solve for x
    x = 58,616,316.34/8,303.22
  6. Step 6: Final answer
    x = 7,059.47

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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.