Home / 2,162.54-2,984.64-1,378.46

Finding the Fourth Proportional to 2,162.54, 2,984.64 and 1,378.46

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Solution

The fourth proportional to 2,162.54, 2,984.64 and 1,378.46 is: 1,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.54 : 2,984.64 = 1,378.46 : x
  2. Step 2: Convert to fraction form
    2,162.54/2,984.64 = 1,378.46/x
  3. Step 3: Cross multiply
    2,162.54x = 2,984.64 × 1,378.46
  4. Step 4: Simplify right side
    2,162.54x = 4,114,206.85
  5. Step 5: Solve for x
    x = 4,114,206.85/2,162.54
  6. Step 6: Final answer
    x = 1,902.49

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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.