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Finding the Fourth Proportional to 1,963.62, 2,946.36 and 990.42

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Solution

The fourth proportional to 1,963.62, 2,946.36 and 990.42 is: 1,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.62 : 2,946.36 = 990.42 : x
  2. Step 2: Convert to fraction form
    1,963.62/2,946.36 = 990.42/x
  3. Step 3: Cross multiply
    1,963.62x = 2,946.36 × 990.42
  4. Step 4: Simplify right side
    1,963.62x = 2,918,133.87
  5. Step 5: Solve for x
    x = 2,918,133.87/1,963.62
  6. Step 6: Final answer
    x = 1,486.10

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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.