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Finding the Fourth Proportional to 1,993.86, 2,988.21 and 1,020.30

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Solution

The fourth proportional to 1,993.86, 2,988.21 and 1,020.30 is: 1,529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.86 : 2,988.21 = 1,020.30 : x
  2. Step 2: Convert to fraction form
    1,993.86/2,988.21 = 1,020.30/x
  3. Step 3: Cross multiply
    1,993.86x = 2,988.21 × 1,020.30
  4. Step 4: Simplify right side
    1,993.86x = 3,048,870.66
  5. Step 5: Solve for x
    x = 3,048,870.66/1,993.86
  6. Step 6: Final answer
    x = 1,529.13

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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.