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Finding the Fourth Proportional to 7,142.92, 10,714.46 and 1,948.80

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Solution

The fourth proportional to 7,142.92, 10,714.46 and 1,948.80 is: 2,923.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.92 : 10,714.46 = 1,948.80 : x
  2. Step 2: Convert to fraction form
    7,142.92/10,714.46 = 1,948.80/x
  3. Step 3: Cross multiply
    7,142.92x = 10,714.46 × 1,948.80
  4. Step 4: Simplify right side
    7,142.92x = 20,880,339.65
  5. Step 5: Solve for x
    x = 20,880,339.65/7,142.92
  6. Step 6: Final answer
    x = 2,923.22

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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.