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Finding the Fourth Proportional to 1,858.13, 2,786.55 and 541.52

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Solution

The fourth proportional to 1,858.13, 2,786.55 and 541.52 is: 812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.13 : 2,786.55 = 541.52 : x
  2. Step 2: Convert to fraction form
    1,858.13/2,786.55 = 541.52/x
  3. Step 3: Cross multiply
    1,858.13x = 2,786.55 × 541.52
  4. Step 4: Simplify right side
    1,858.13x = 1,508,967.04
  5. Step 5: Solve for x
    x = 1,508,967.04/1,858.13
  6. Step 6: Final answer
    x = 812.09

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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.