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Finding the Fourth Proportional to 5,706.40, 8,564.40 and 2,787.20

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Solution

The fourth proportional to 5,706.40, 8,564.40 and 2,787.20 is: 4,183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.40 : 8,564.40 = 2,787.20 : x
  2. Step 2: Convert to fraction form
    5,706.40/8,564.40 = 2,787.20/x
  3. Step 3: Cross multiply
    5,706.40x = 8,564.40 × 2,787.20
  4. Step 4: Simplify right side
    5,706.40x = 23,870,695.68
  5. Step 5: Solve for x
    x = 23,870,695.68/5,706.40
  6. Step 6: Final answer
    x = 4,183.14

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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.