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Finding the Fourth Proportional to 4,289, 6,434.58 and 1,211

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Solution

The fourth proportional to 4,289, 6,434.58 and 1,211 is: 1,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289 : 6,434.58 = 1,211 : x
  2. Step 2: Convert to fraction form
    4,289/6,434.58 = 1,211/x
  3. Step 3: Cross multiply
    4,289x = 6,434.58 × 1,211
  4. Step 4: Simplify right side
    4,289x = 7,792,276.38
  5. Step 5: Solve for x
    x = 7,792,276.38/4,289
  6. Step 6: Final answer
    x = 1,816.80

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Double scale
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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.