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Finding the Fourth Proportional to 2,098, 3,142.72 and 985.72

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Solution

The fourth proportional to 2,098, 3,142.72 and 985.72 is: 1,476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098 : 3,142.72 = 985.72 : x
  2. Step 2: Convert to fraction form
    2,098/3,142.72 = 985.72/x
  3. Step 3: Cross multiply
    2,098x = 3,142.72 × 985.72
  4. Step 4: Simplify right side
    2,098x = 3,097,841.96
  5. Step 5: Solve for x
    x = 3,097,841.96/2,098
  6. Step 6: Final answer
    x = 1,476.57

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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.