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Finding the Fourth Proportional to 1,981.38, 2,968.08 and 942.39

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Solution

The fourth proportional to 1,981.38, 2,968.08 and 942.39 is: 1,411.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.38 : 2,968.08 = 942.39 : x
  2. Step 2: Convert to fraction form
    1,981.38/2,968.08 = 942.39/x
  3. Step 3: Cross multiply
    1,981.38x = 2,968.08 × 942.39
  4. Step 4: Simplify right side
    1,981.38x = 2,797,088.91
  5. Step 5: Solve for x
    x = 2,797,088.91/1,981.38
  6. Step 6: Final answer
    x = 1,411.69

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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.