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Finding the Fourth Proportional to 2,097.48, 3,146.60 and 864.22

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Solution

The fourth proportional to 2,097.48, 3,146.60 and 864.22 is: 1,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.48 : 3,146.60 = 864.22 : x
  2. Step 2: Convert to fraction form
    2,097.48/3,146.60 = 864.22/x
  3. Step 3: Cross multiply
    2,097.48x = 3,146.60 × 864.22
  4. Step 4: Simplify right side
    2,097.48x = 2,719,354.65
  5. Step 5: Solve for x
    x = 2,719,354.65/2,097.48
  6. Step 6: Final answer
    x = 1,296.49

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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.