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Finding the Fourth Proportional to 1,269.51, 1,889.83 and 1,209.87

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Solution

The fourth proportional to 1,269.51, 1,889.83 and 1,209.87 is: 1,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.51 : 1,889.83 = 1,209.87 : x
  2. Step 2: Convert to fraction form
    1,269.51/1,889.83 = 1,209.87/x
  3. Step 3: Cross multiply
    1,269.51x = 1,889.83 × 1,209.87
  4. Step 4: Simplify right side
    1,269.51x = 2,286,445.60
  5. Step 5: Solve for x
    x = 2,286,445.60/1,269.51
  6. Step 6: Final answer
    x = 1,801.05

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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.