Home / 1,947.67-2,686.78-1,284.28

Finding the Fourth Proportional to 1,947.67, 2,686.78 and 1,284.28

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Solution

The fourth proportional to 1,947.67, 2,686.78 and 1,284.28 is: 1,771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.67 : 2,686.78 = 1,284.28 : x
  2. Step 2: Convert to fraction form
    1,947.67/2,686.78 = 1,284.28/x
  3. Step 3: Cross multiply
    1,947.67x = 2,686.78 × 1,284.28
  4. Step 4: Simplify right side
    1,947.67x = 3,450,561.17
  5. Step 5: Solve for x
    x = 3,450,561.17/1,947.67
  6. Step 6: Final answer
    x = 1,771.64

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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.