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Finding the Fourth Proportional to 5,210.10, 7,815.67 and 1,699.97

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Solution

The fourth proportional to 5,210.10, 7,815.67 and 1,699.97 is: 2,550.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.10 : 7,815.67 = 1,699.97 : x
  2. Step 2: Convert to fraction form
    5,210.10/7,815.67 = 1,699.97/x
  3. Step 3: Cross multiply
    5,210.10x = 7,815.67 × 1,699.97
  4. Step 4: Simplify right side
    5,210.10x = 13,286,375.86
  5. Step 5: Solve for x
    x = 13,286,375.86/5,210.10
  6. Step 6: Final answer
    x = 2,550.12

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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.