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Finding the Fourth Proportional to 5,102.65, 7,653.84 and 1,404.87

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Solution

The fourth proportional to 5,102.65, 7,653.84 and 1,404.87 is: 2,107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.65 : 7,653.84 = 1,404.87 : x
  2. Step 2: Convert to fraction form
    5,102.65/7,653.84 = 1,404.87/x
  3. Step 3: Cross multiply
    5,102.65x = 7,653.84 × 1,404.87
  4. Step 4: Simplify right side
    5,102.65x = 10,752,650.20
  5. Step 5: Solve for x
    x = 10,752,650.20/5,102.65
  6. Step 6: Final answer
    x = 2,107.27

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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.