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Finding the Fourth Proportional to 1,259.40, 1,889.10 and 1,206.08

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Solution

The fourth proportional to 1,259.40, 1,889.10 and 1,206.08 is: 1,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.40 : 1,889.10 = 1,206.08 : x
  2. Step 2: Convert to fraction form
    1,259.40/1,889.10 = 1,206.08/x
  3. Step 3: Cross multiply
    1,259.40x = 1,889.10 × 1,206.08
  4. Step 4: Simplify right side
    1,259.40x = 2,278,405.73
  5. Step 5: Solve for x
    x = 2,278,405.73/1,259.40
  6. Step 6: Final answer
    x = 1,809.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.