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Finding the Fourth Proportional to 1,495.94, 2,243.90 and 1,238.90

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Solution

The fourth proportional to 1,495.94, 2,243.90 and 1,238.90 is: 1,858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.94 : 2,243.90 = 1,238.90 : x
  2. Step 2: Convert to fraction form
    1,495.94/2,243.90 = 1,238.90/x
  3. Step 3: Cross multiply
    1,495.94x = 2,243.90 × 1,238.90
  4. Step 4: Simplify right side
    1,495.94x = 2,779,959.59
  5. Step 5: Solve for x
    x = 2,779,959.59/1,495.94
  6. Step 6: Final answer
    x = 1,858.34

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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.