Home / 1,784.36-2,462.05-1,287.74

Finding the Fourth Proportional to 1,784.36, 2,462.05 and 1,287.74

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Solution

The fourth proportional to 1,784.36, 2,462.05 and 1,287.74 is: 1,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.36 : 2,462.05 = 1,287.74 : x
  2. Step 2: Convert to fraction form
    1,784.36/2,462.05 = 1,287.74/x
  3. Step 3: Cross multiply
    1,784.36x = 2,462.05 × 1,287.74
  4. Step 4: Simplify right side
    1,784.36x = 3,170,480.27
  5. Step 5: Solve for x
    x = 3,170,480.27/1,784.36
  6. Step 6: Final answer
    x = 1,776.82

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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.