Home / 1,823.08-2,733.52-1,309

Finding the Fourth Proportional to 1,823.08, 2,733.52 and 1,309

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Solution

The fourth proportional to 1,823.08, 2,733.52 and 1,309 is: 1,962.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.08 : 2,733.52 = 1,309 : x
  2. Step 2: Convert to fraction form
    1,823.08/2,733.52 = 1,309/x
  3. Step 3: Cross multiply
    1,823.08x = 2,733.52 × 1,309
  4. Step 4: Simplify right side
    1,823.08x = 3,578,177.68
  5. Step 5: Solve for x
    x = 3,578,177.68/1,823.08
  6. Step 6: Final answer
    x = 1,962.71

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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.