Home / 1,426.69-2,135.49-766.93

Finding the Fourth Proportional to 1,426.69, 2,135.49 and 766.93

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Solution

The fourth proportional to 1,426.69, 2,135.49 and 766.93 is: 1,147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.69 : 2,135.49 = 766.93 : x
  2. Step 2: Convert to fraction form
    1,426.69/2,135.49 = 766.93/x
  3. Step 3: Cross multiply
    1,426.69x = 2,135.49 × 766.93
  4. Step 4: Simplify right side
    1,426.69x = 1,637,771.35
  5. Step 5: Solve for x
    x = 1,637,771.35/1,426.69
  6. Step 6: Final answer
    x = 1,147.95

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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.