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Finding the Fourth Proportional to 3,563.78, 4,918.06 and 1,991.90

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Solution

The fourth proportional to 3,563.78, 4,918.06 and 1,991.90 is: 2,748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.78 : 4,918.06 = 1,991.90 : x
  2. Step 2: Convert to fraction form
    3,563.78/4,918.06 = 1,991.90/x
  3. Step 3: Cross multiply
    3,563.78x = 4,918.06 × 1,991.90
  4. Step 4: Simplify right side
    3,563.78x = 9,796,283.71
  5. Step 5: Solve for x
    x = 9,796,283.71/3,563.78
  6. Step 6: Final answer
    x = 2,748.85

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1.5x scale

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.