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Finding the Fourth Proportional to 1,987.76, 2,983.17 and 1,064.09

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Solution

The fourth proportional to 1,987.76, 2,983.17 and 1,064.09 is: 1,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.76 : 2,983.17 = 1,064.09 : x
  2. Step 2: Convert to fraction form
    1,987.76/2,983.17 = 1,064.09/x
  3. Step 3: Cross multiply
    1,987.76x = 2,983.17 × 1,064.09
  4. Step 4: Simplify right side
    1,987.76x = 3,174,361.63
  5. Step 5: Solve for x
    x = 3,174,361.63/1,987.76
  6. Step 6: Final answer
    x = 1,596.96

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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.