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Finding the Fourth Proportional to 1,993.64, 2,987.13 and 1,407.68

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Solution

The fourth proportional to 1,993.64, 2,987.13 and 1,407.68 is: 2,109.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.64 : 2,987.13 = 1,407.68 : x
  2. Step 2: Convert to fraction form
    1,993.64/2,987.13 = 1,407.68/x
  3. Step 3: Cross multiply
    1,993.64x = 2,987.13 × 1,407.68
  4. Step 4: Simplify right side
    1,993.64x = 4,204,923.16
  5. Step 5: Solve for x
    x = 4,204,923.16/1,993.64
  6. Step 6: Final answer
    x = 2,109.17

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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.