Home / 2,163.40-2,984.94-1,219

Finding the Fourth Proportional to 2,163.40, 2,984.94 and 1,219

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Solution

The fourth proportional to 2,163.40, 2,984.94 and 1,219 is: 1,681.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.40 : 2,984.94 = 1,219 : x
  2. Step 2: Convert to fraction form
    2,163.40/2,984.94 = 1,219/x
  3. Step 3: Cross multiply
    2,163.40x = 2,984.94 × 1,219
  4. Step 4: Simplify right side
    2,163.40x = 3,638,641.86
  5. Step 5: Solve for x
    x = 3,638,641.86/2,163.40
  6. Step 6: Final answer
    x = 1,681.91

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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.