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Finding the Fourth Proportional to 8,383.61, 11,570 and 5,197.52

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Solution

The fourth proportional to 8,383.61, 11,570 and 5,197.52 is: 7,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.61 : 11,570 = 5,197.52 : x
  2. Step 2: Convert to fraction form
    8,383.61/11,570 = 5,197.52/x
  3. Step 3: Cross multiply
    8,383.61x = 11,570 × 5,197.52
  4. Step 4: Simplify right side
    8,383.61x = 60,135,306.40
  5. Step 5: Solve for x
    x = 60,135,306.40/8,383.61
  6. Step 6: Final answer
    x = 7,172.96

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Why These Related Problems?

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