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Finding the Fourth Proportional to 5,704.72, 8,557.80 and 1,809.16

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Solution

The fourth proportional to 5,704.72, 8,557.80 and 1,809.16 is: 2,713.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.72 : 8,557.80 = 1,809.16 : x
  2. Step 2: Convert to fraction form
    5,704.72/8,557.80 = 1,809.16/x
  3. Step 3: Cross multiply
    5,704.72x = 8,557.80 × 1,809.16
  4. Step 4: Simplify right side
    5,704.72x = 15,482,429.45
  5. Step 5: Solve for x
    x = 15,482,429.45/5,704.72
  6. Step 6: Final answer
    x = 2,713.97

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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.