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Finding the Fourth Proportional to 9,116.67, 13,665.69 and 4,189.98

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Solution

The fourth proportional to 9,116.67, 13,665.69 and 4,189.98 is: 6,280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.67 : 13,665.69 = 4,189.98 : x
  2. Step 2: Convert to fraction form
    9,116.67/13,665.69 = 4,189.98/x
  3. Step 3: Cross multiply
    9,116.67x = 13,665.69 × 4,189.98
  4. Step 4: Simplify right side
    9,116.67x = 57,258,967.79
  5. Step 5: Solve for x
    x = 57,258,967.79/9,116.67
  6. Step 6: Final answer
    x = 6,280.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.