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Finding the Fourth Proportional to 5,406.48, 8,108.57 and 1,709.03

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Solution

The fourth proportional to 5,406.48, 8,108.57 and 1,709.03 is: 2,563.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.48 : 8,108.57 = 1,709.03 : x
  2. Step 2: Convert to fraction form
    5,406.48/8,108.57 = 1,709.03/x
  3. Step 3: Cross multiply
    5,406.48x = 8,108.57 × 1,709.03
  4. Step 4: Simplify right side
    5,406.48x = 13,857,813.93
  5. Step 5: Solve for x
    x = 13,857,813.93/5,406.48
  6. Step 6: Final answer
    x = 2,563.19

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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.