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Finding the Fourth Proportional to 2,288.09, 3,431.17 and 988.63

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Solution

The fourth proportional to 2,288.09, 3,431.17 and 988.63 is: 1,482.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.09 : 3,431.17 = 988.63 : x
  2. Step 2: Convert to fraction form
    2,288.09/3,431.17 = 988.63/x
  3. Step 3: Cross multiply
    2,288.09x = 3,431.17 × 988.63
  4. Step 4: Simplify right side
    2,288.09x = 3,392,157.60
  5. Step 5: Solve for x
    x = 3,392,157.60/2,288.09
  6. Step 6: Final answer
    x = 1,482.53

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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.