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Finding the Fourth Proportional to 1,858.88, 2,564.81 and 1,072.93

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Solution

The fourth proportional to 1,858.88, 2,564.81 and 1,072.93 is: 1,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.88 : 2,564.81 = 1,072.93 : x
  2. Step 2: Convert to fraction form
    1,858.88/2,564.81 = 1,072.93/x
  3. Step 3: Cross multiply
    1,858.88x = 2,564.81 × 1,072.93
  4. Step 4: Simplify right side
    1,858.88x = 2,751,849.82
  5. Step 5: Solve for x
    x = 2,751,849.82/1,858.88
  6. Step 6: Final answer
    x = 1,480.38

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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.