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Finding the Fourth Proportional to 3,141.50, 4,712.25 and 1,089.50

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Solution

The fourth proportional to 3,141.50, 4,712.25 and 1,089.50 is: 1,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.50 : 4,712.25 = 1,089.50 : x
  2. Step 2: Convert to fraction form
    3,141.50/4,712.25 = 1,089.50/x
  3. Step 3: Cross multiply
    3,141.50x = 4,712.25 × 1,089.50
  4. Step 4: Simplify right side
    3,141.50x = 5,133,996.38
  5. Step 5: Solve for x
    x = 5,133,996.38/3,141.50
  6. Step 6: Final answer
    x = 1,634.25

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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.