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Finding the Fourth Proportional to 5,536.36, 7,647.63 and 5,142.70

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Solution

The fourth proportional to 5,536.36, 7,647.63 and 5,142.70 is: 7,103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.36 : 7,647.63 = 5,142.70 : x
  2. Step 2: Convert to fraction form
    5,536.36/7,647.63 = 5,142.70/x
  3. Step 3: Cross multiply
    5,536.36x = 7,647.63 × 5,142.70
  4. Step 4: Simplify right side
    5,536.36x = 39,329,466.80
  5. Step 5: Solve for x
    x = 39,329,466.80/5,536.36
  6. Step 6: Final answer
    x = 7,103.85

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1.5x scale

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.