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Finding the Fourth Proportional to 3,985.81, 5,980.23 and 1,906.74

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Solution

The fourth proportional to 3,985.81, 5,980.23 and 1,906.74 is: 2,860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.81 : 5,980.23 = 1,906.74 : x
  2. Step 2: Convert to fraction form
    3,985.81/5,980.23 = 1,906.74/x
  3. Step 3: Cross multiply
    3,985.81x = 5,980.23 × 1,906.74
  4. Step 4: Simplify right side
    3,985.81x = 11,402,743.75
  5. Step 5: Solve for x
    x = 11,402,743.75/3,985.81
  6. Step 6: Final answer
    x = 2,860.84

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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.