Home / 2,123.71-2,930.75-1,284.51

Finding the Fourth Proportional to 2,123.71, 2,930.75 and 1,284.51

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Solution

The fourth proportional to 2,123.71, 2,930.75 and 1,284.51 is: 1,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.71 : 2,930.75 = 1,284.51 : x
  2. Step 2: Convert to fraction form
    2,123.71/2,930.75 = 1,284.51/x
  3. Step 3: Cross multiply
    2,123.71x = 2,930.75 × 1,284.51
  4. Step 4: Simplify right side
    2,123.71x = 3,764,577.68
  5. Step 5: Solve for x
    x = 3,764,577.68/2,123.71
  6. Step 6: Final answer
    x = 1,772.64

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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.