Home / 2,078-2,867.64-1,526.96

Finding the Fourth Proportional to 2,078, 2,867.64 and 1,526.96

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Solution

The fourth proportional to 2,078, 2,867.64 and 1,526.96 is: 2,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078 : 2,867.64 = 1,526.96 : x
  2. Step 2: Convert to fraction form
    2,078/2,867.64 = 1,526.96/x
  3. Step 3: Cross multiply
    2,078x = 2,867.64 × 1,526.96
  4. Step 4: Simplify right side
    2,078x = 4,378,771.57
  5. Step 5: Solve for x
    x = 4,378,771.57/2,078
  6. Step 6: Final answer
    x = 2,107.20

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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.