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Finding the Fourth Proportional to 5,783.13, 8,675.64 and 2,087.64

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Solution

The fourth proportional to 5,783.13, 8,675.64 and 2,087.64 is: 3,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.13 : 8,675.64 = 2,087.64 : x
  2. Step 2: Convert to fraction form
    5,783.13/8,675.64 = 2,087.64/x
  3. Step 3: Cross multiply
    5,783.13x = 8,675.64 × 2,087.64
  4. Step 4: Simplify right side
    5,783.13x = 18,111,613.09
  5. Step 5: Solve for x
    x = 18,111,613.09/5,783.13
  6. Step 6: Final answer
    x = 3,131.80

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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.