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Finding the Fourth Proportional to 4,843.40, 6,685.93 and 4,101.21

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Solution

The fourth proportional to 4,843.40, 6,685.93 and 4,101.21 is: 5,661.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.40 : 6,685.93 = 4,101.21 : x
  2. Step 2: Convert to fraction form
    4,843.40/6,685.93 = 4,101.21/x
  3. Step 3: Cross multiply
    4,843.40x = 6,685.93 × 4,101.21
  4. Step 4: Simplify right side
    4,843.40x = 27,420,369.55
  5. Step 5: Solve for x
    x = 27,420,369.55/4,843.40
  6. Step 6: Final answer
    x = 5,661.39

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Half scale
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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.