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Finding the Fourth Proportional to 5,210.22, 7,816.01 and 1,698.99

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Solution

The fourth proportional to 5,210.22, 7,816.01 and 1,698.99 is: 2,548.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.22 : 7,816.01 = 1,698.99 : x
  2. Step 2: Convert to fraction form
    5,210.22/7,816.01 = 1,698.99/x
  3. Step 3: Cross multiply
    5,210.22x = 7,816.01 × 1,698.99
  4. Step 4: Simplify right side
    5,210.22x = 13,279,346.62
  5. Step 5: Solve for x
    x = 13,279,346.62/5,210.22
  6. Step 6: Final answer
    x = 2,548.71

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1.5x scale

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.