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Finding the Fourth Proportional to 6,170.57, 8,515.35 and 5,668.50

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Solution

The fourth proportional to 6,170.57, 8,515.35 and 5,668.50 is: 7,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.57 : 8,515.35 = 5,668.50 : x
  2. Step 2: Convert to fraction form
    6,170.57/8,515.35 = 5,668.50/x
  3. Step 3: Cross multiply
    6,170.57x = 8,515.35 × 5,668.50
  4. Step 4: Simplify right side
    6,170.57x = 48,269,261.48
  5. Step 5: Solve for x
    x = 48,269,261.48/6,170.57
  6. Step 6: Final answer
    x = 7,822.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.