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Finding the Fourth Proportional to 5,688.72, 8,531.16 and 2,765.16

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Solution

The fourth proportional to 5,688.72, 8,531.16 and 2,765.16 is: 4,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.72 : 8,531.16 = 2,765.16 : x
  2. Step 2: Convert to fraction form
    5,688.72/8,531.16 = 2,765.16/x
  3. Step 3: Cross multiply
    5,688.72x = 8,531.16 × 2,765.16
  4. Step 4: Simplify right side
    5,688.72x = 23,590,022.39
  5. Step 5: Solve for x
    x = 23,590,022.39/5,688.72
  6. Step 6: Final answer
    x = 4,146.81

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Why These Related Problems?

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