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Finding the Fourth Proportional to 7,137.56, 9,853.20 and 5,369.84

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Solution

The fourth proportional to 7,137.56, 9,853.20 and 5,369.84 is: 7,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.56 : 9,853.20 = 5,369.84 : x
  2. Step 2: Convert to fraction form
    7,137.56/9,853.20 = 5,369.84/x
  3. Step 3: Cross multiply
    7,137.56x = 9,853.20 × 5,369.84
  4. Step 4: Simplify right side
    7,137.56x = 52,910,107.49
  5. Step 5: Solve for x
    x = 52,910,107.49/7,137.56
  6. Step 6: Final answer
    x = 7,412.91

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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.