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Finding the Fourth Proportional to 5,204, 7,807.08 and 1,645.88

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Solution

The fourth proportional to 5,204, 7,807.08 and 1,645.88 is: 2,469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204 : 7,807.08 = 1,645.88 : x
  2. Step 2: Convert to fraction form
    5,204/7,807.08 = 1,645.88/x
  3. Step 3: Cross multiply
    5,204x = 7,807.08 × 1,645.88
  4. Step 4: Simplify right side
    5,204x = 12,849,516.83
  5. Step 5: Solve for x
    x = 12,849,516.83/5,204
  6. Step 6: Final answer
    x = 2,469.16

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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.