Home / 1,786.78-2,467.02-1,157.62

Finding the Fourth Proportional to 1,786.78, 2,467.02 and 1,157.62

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Solution

The fourth proportional to 1,786.78, 2,467.02 and 1,157.62 is: 1,598.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.78 : 2,467.02 = 1,157.62 : x
  2. Step 2: Convert to fraction form
    1,786.78/2,467.02 = 1,157.62/x
  3. Step 3: Cross multiply
    1,786.78x = 2,467.02 × 1,157.62
  4. Step 4: Simplify right side
    1,786.78x = 2,855,871.69
  5. Step 5: Solve for x
    x = 2,855,871.69/1,786.78
  6. Step 6: Final answer
    x = 1,598.33

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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.