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Finding the Fourth Proportional to 1,981.02, 2,968.80 and 1,687

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Solution

The fourth proportional to 1,981.02, 2,968.80 and 1,687 is: 2,528.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.02 : 2,968.80 = 1,687 : x
  2. Step 2: Convert to fraction form
    1,981.02/2,968.80 = 1,687/x
  3. Step 3: Cross multiply
    1,981.02x = 2,968.80 × 1,687
  4. Step 4: Simplify right side
    1,981.02x = 5,008,365.60
  5. Step 5: Solve for x
    x = 5,008,365.60/1,981.02
  6. Step 6: Final answer
    x = 2,528.18

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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.