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Finding the Fourth Proportional to 2,169.62, 2,993.84 and 1,225.46

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Solution

The fourth proportional to 2,169.62, 2,993.84 and 1,225.46 is: 1,691.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.62 : 2,993.84 = 1,225.46 : x
  2. Step 2: Convert to fraction form
    2,169.62/2,993.84 = 1,225.46/x
  3. Step 3: Cross multiply
    2,169.62x = 2,993.84 × 1,225.46
  4. Step 4: Simplify right side
    2,169.62x = 3,668,810.07
  5. Step 5: Solve for x
    x = 3,668,810.07/2,169.62
  6. Step 6: Final answer
    x = 1,691.00

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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.