Home / 1,426.90-2,137.60-767.16

Finding the Fourth Proportional to 1,426.90, 2,137.60 and 767.16

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Solution

The fourth proportional to 1,426.90, 2,137.60 and 767.16 is: 1,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.90 : 2,137.60 = 767.16 : x
  2. Step 2: Convert to fraction form
    1,426.90/2,137.60 = 767.16/x
  3. Step 3: Cross multiply
    1,426.90x = 2,137.60 × 767.16
  4. Step 4: Simplify right side
    1,426.90x = 1,639,881.22
  5. Step 5: Solve for x
    x = 1,639,881.22/1,426.90
  6. Step 6: Final answer
    x = 1,149.26

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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.