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Finding the Fourth Proportional to 7,747.98, 10,692.28 and 4,211.19

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Solution

The fourth proportional to 7,747.98, 10,692.28 and 4,211.19 is: 5,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.98 : 10,692.28 = 4,211.19 : x
  2. Step 2: Convert to fraction form
    7,747.98/10,692.28 = 4,211.19/x
  3. Step 3: Cross multiply
    7,747.98x = 10,692.28 × 4,211.19
  4. Step 4: Simplify right side
    7,747.98x = 45,027,212.09
  5. Step 5: Solve for x
    x = 45,027,212.09/7,747.98
  6. Step 6: Final answer
    x = 5,811.48

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Double scale
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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.