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Finding the Fourth Proportional to 5,690.77, 8,540 and 1,993.03

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Solution

The fourth proportional to 5,690.77, 8,540 and 1,993.03 is: 2,990.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.77 : 8,540 = 1,993.03 : x
  2. Step 2: Convert to fraction form
    5,690.77/8,540 = 1,993.03/x
  3. Step 3: Cross multiply
    5,690.77x = 8,540 × 1,993.03
  4. Step 4: Simplify right side
    5,690.77x = 17,020,476.20
  5. Step 5: Solve for x
    x = 17,020,476.20/5,690.77
  6. Step 6: Final answer
    x = 2,990.89

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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.