Home / 2,123.89-2,931-1,284.33

Finding the Fourth Proportional to 2,123.89, 2,931 and 1,284.33

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Solution

The fourth proportional to 2,123.89, 2,931 and 1,284.33 is: 1,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.89 : 2,931 = 1,284.33 : x
  2. Step 2: Convert to fraction form
    2,123.89/2,931 = 1,284.33/x
  3. Step 3: Cross multiply
    2,123.89x = 2,931 × 1,284.33
  4. Step 4: Simplify right side
    2,123.89x = 3,764,371.23
  5. Step 5: Solve for x
    x = 3,764,371.23/2,123.89
  6. Step 6: Final answer
    x = 1,772.39

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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.