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Finding the Fourth Proportional to 6,143.26, 9,214.08 and 1,983.70

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Solution

The fourth proportional to 6,143.26, 9,214.08 and 1,983.70 is: 2,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.26 : 9,214.08 = 1,983.70 : x
  2. Step 2: Convert to fraction form
    6,143.26/9,214.08 = 1,983.70/x
  3. Step 3: Cross multiply
    6,143.26x = 9,214.08 × 1,983.70
  4. Step 4: Simplify right side
    6,143.26x = 18,277,970.50
  5. Step 5: Solve for x
    x = 18,277,970.50/6,143.26
  6. Step 6: Final answer
    x = 2,975.29

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.