Home / 1,284.06-1,925.64-1,078.68

Finding the Fourth Proportional to 1,284.06, 1,925.64 and 1,078.68

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Solution

The fourth proportional to 1,284.06, 1,925.64 and 1,078.68 is: 1,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.06 : 1,925.64 = 1,078.68 : x
  2. Step 2: Convert to fraction form
    1,284.06/1,925.64 = 1,078.68/x
  3. Step 3: Cross multiply
    1,284.06x = 1,925.64 × 1,078.68
  4. Step 4: Simplify right side
    1,284.06x = 2,077,149.36
  5. Step 5: Solve for x
    x = 2,077,149.36/1,284.06
  6. Step 6: Final answer
    x = 1,617.64

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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.