Home / 2,783.16-3,840.75-1,604.34

Finding the Fourth Proportional to 2,783.16, 3,840.75 and 1,604.34

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Solution

The fourth proportional to 2,783.16, 3,840.75 and 1,604.34 is: 2,213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.16 : 3,840.75 = 1,604.34 : x
  2. Step 2: Convert to fraction form
    2,783.16/3,840.75 = 1,604.34/x
  3. Step 3: Cross multiply
    2,783.16x = 3,840.75 × 1,604.34
  4. Step 4: Simplify right side
    2,783.16x = 6,161,868.86
  5. Step 5: Solve for x
    x = 6,161,868.86/2,783.16
  6. Step 6: Final answer
    x = 2,213.98

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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.