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Finding the Fourth Proportional to 1,993.60, 2,987.16 and 1,172.56

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Solution

The fourth proportional to 1,993.60, 2,987.16 and 1,172.56 is: 1,756.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.60 : 2,987.16 = 1,172.56 : x
  2. Step 2: Convert to fraction form
    1,993.60/2,987.16 = 1,172.56/x
  3. Step 3: Cross multiply
    1,993.60x = 2,987.16 × 1,172.56
  4. Step 4: Simplify right side
    1,993.60x = 3,502,624.33
  5. Step 5: Solve for x
    x = 3,502,624.33/1,993.60
  6. Step 6: Final answer
    x = 1,756.93

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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.