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Finding the Fourth Proportional to 2,165.90, 3,245.80 and 993.02

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Solution

The fourth proportional to 2,165.90, 3,245.80 and 993.02 is: 1,488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.90 : 3,245.80 = 993.02 : x
  2. Step 2: Convert to fraction form
    2,165.90/3,245.80 = 993.02/x
  3. Step 3: Cross multiply
    2,165.90x = 3,245.80 × 993.02
  4. Step 4: Simplify right side
    2,165.90x = 3,223,144.32
  5. Step 5: Solve for x
    x = 3,223,144.32/2,165.90
  6. Step 6: Final answer
    x = 1,488.13

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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.