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Finding the Fourth Proportional to 5,769.16, 7,961.45 and 3,116.57

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Solution

The fourth proportional to 5,769.16, 7,961.45 and 3,116.57 is: 4,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.16 : 7,961.45 = 3,116.57 : x
  2. Step 2: Convert to fraction form
    5,769.16/7,961.45 = 3,116.57/x
  3. Step 3: Cross multiply
    5,769.16x = 7,961.45 × 3,116.57
  4. Step 4: Simplify right side
    5,769.16x = 24,812,360.84
  5. Step 5: Solve for x
    x = 24,812,360.84/5,769.16
  6. Step 6: Final answer
    x = 4,300.86

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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.