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Finding the Fourth Proportional to 1,988.07, 2,976.62 and 1,499.64

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Solution

The fourth proportional to 1,988.07, 2,976.62 and 1,499.64 is: 2,245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.07 : 2,976.62 = 1,499.64 : x
  2. Step 2: Convert to fraction form
    1,988.07/2,976.62 = 1,499.64/x
  3. Step 3: Cross multiply
    1,988.07x = 2,976.62 × 1,499.64
  4. Step 4: Simplify right side
    1,988.07x = 4,463,850.92
  5. Step 5: Solve for x
    x = 4,463,850.92/1,988.07
  6. Step 6: Final answer
    x = 2,245.32

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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.