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Finding the Fourth Proportional to 6,299.76, 8,692.88 and 3,647.12

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Solution

The fourth proportional to 6,299.76, 8,692.88 and 3,647.12 is: 5,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.76 : 8,692.88 = 3,647.12 : x
  2. Step 2: Convert to fraction form
    6,299.76/8,692.88 = 3,647.12/x
  3. Step 3: Cross multiply
    6,299.76x = 8,692.88 × 3,647.12
  4. Step 4: Simplify right side
    6,299.76x = 31,703,976.51
  5. Step 5: Solve for x
    x = 31,703,976.51/6,299.76
  6. Step 6: Final answer
    x = 5,032.57

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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.