Home / 1,238.24-1,866.64-1,047.20

Finding the Fourth Proportional to 1,238.24, 1,866.64 and 1,047.20

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Solution

The fourth proportional to 1,238.24, 1,866.64 and 1,047.20 is: 1,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.24 : 1,866.64 = 1,047.20 : x
  2. Step 2: Convert to fraction form
    1,238.24/1,866.64 = 1,047.20/x
  3. Step 3: Cross multiply
    1,238.24x = 1,866.64 × 1,047.20
  4. Step 4: Simplify right side
    1,238.24x = 1,954,745.41
  5. Step 5: Solve for x
    x = 1,954,745.41/1,238.24
  6. Step 6: Final answer
    x = 1,578.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.