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Finding the Fourth Proportional to 1,889.81, 2,609.10 and 1,217.85

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Solution

The fourth proportional to 1,889.81, 2,609.10 and 1,217.85 is: 1,681.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.81 : 2,609.10 = 1,217.85 : x
  2. Step 2: Convert to fraction form
    1,889.81/2,609.10 = 1,217.85/x
  3. Step 3: Cross multiply
    1,889.81x = 2,609.10 × 1,217.85
  4. Step 4: Simplify right side
    1,889.81x = 3,177,485.26
  5. Step 5: Solve for x
    x = 3,177,485.26/1,889.81
  6. Step 6: Final answer
    x = 1,681.38

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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.