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Finding the Fourth Proportional to 5,405.92, 8,109.96 and 1,708.50

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Solution

The fourth proportional to 5,405.92, 8,109.96 and 1,708.50 is: 2,563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.92 : 8,109.96 = 1,708.50 : x
  2. Step 2: Convert to fraction form
    5,405.92/8,109.96 = 1,708.50/x
  3. Step 3: Cross multiply
    5,405.92x = 8,109.96 × 1,708.50
  4. Step 4: Simplify right side
    5,405.92x = 13,855,866.66
  5. Step 5: Solve for x
    x = 13,855,866.66/5,405.92
  6. Step 6: Final answer
    x = 2,563.09

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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.