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Finding the Fourth Proportional to 3,817.59, 5,729.31 and 1,709.86

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Solution

The fourth proportional to 3,817.59, 5,729.31 and 1,709.86 is: 2,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.59 : 5,729.31 = 1,709.86 : x
  2. Step 2: Convert to fraction form
    3,817.59/5,729.31 = 1,709.86/x
  3. Step 3: Cross multiply
    3,817.59x = 5,729.31 × 1,709.86
  4. Step 4: Simplify right side
    3,817.59x = 9,796,318.00
  5. Step 5: Solve for x
    x = 9,796,318.00/3,817.59
  6. Step 6: Final answer
    x = 2,566.10

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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.