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Finding the Fourth Proportional to 3,181, 4,389.84 and 1,783.84

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Solution

The fourth proportional to 3,181, 4,389.84 and 1,783.84 is: 2,461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181 : 4,389.84 = 1,783.84 : x
  2. Step 2: Convert to fraction form
    3,181/4,389.84 = 1,783.84/x
  3. Step 3: Cross multiply
    3,181x = 4,389.84 × 1,783.84
  4. Step 4: Simplify right side
    3,181x = 7,830,772.19
  5. Step 5: Solve for x
    x = 7,830,772.19/3,181
  6. Step 6: Final answer
    x = 2,461.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.