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Finding the Fourth Proportional to 5,605.15, 8,407.42 and 1,709.25

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Solution

The fourth proportional to 5,605.15, 8,407.42 and 1,709.25 is: 2,563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.15 : 8,407.42 = 1,709.25 : x
  2. Step 2: Convert to fraction form
    5,605.15/8,407.42 = 1,709.25/x
  3. Step 3: Cross multiply
    5,605.15x = 8,407.42 × 1,709.25
  4. Step 4: Simplify right side
    5,605.15x = 14,370,382.64
  5. Step 5: Solve for x
    x = 14,370,382.64/5,605.15
  6. Step 6: Final answer
    x = 2,563.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.