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Finding the Fourth Proportional to 7,408.21, 11,046.97 and 7,341.54

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Solution

The fourth proportional to 7,408.21, 11,046.97 and 7,341.54 is: 10,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.21 : 11,046.97 = 7,341.54 : x
  2. Step 2: Convert to fraction form
    7,408.21/11,046.97 = 7,341.54/x
  3. Step 3: Cross multiply
    7,408.21x = 11,046.97 × 7,341.54
  4. Step 4: Simplify right side
    7,408.21x = 81,101,772.13
  5. Step 5: Solve for x
    x = 81,101,772.13/7,408.21
  6. Step 6: Final answer
    x = 10,947.55

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Half scale
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Double scale
Find fourth proportional to 7,409.21, 11,048.46 and 7,342.54
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.