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Finding the Fourth Proportional to 2,147.50, 3,203.97 and 1,913.60

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Solution

The fourth proportional to 2,147.50, 3,203.97 and 1,913.60 is: 2,855.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.50 : 3,203.97 = 1,913.60 : x
  2. Step 2: Convert to fraction form
    2,147.50/3,203.97 = 1,913.60/x
  3. Step 3: Cross multiply
    2,147.50x = 3,203.97 × 1,913.60
  4. Step 4: Simplify right side
    2,147.50x = 6,131,116.99
  5. Step 5: Solve for x
    x = 6,131,116.99/2,147.50
  6. Step 6: Final answer
    x = 2,855.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.