Home / 3,420-5,130.84-1,111.56

Finding the Fourth Proportional to 3,420, 5,130.84 and 1,111.56

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Solution

The fourth proportional to 3,420, 5,130.84 and 1,111.56 is: 1,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420 : 5,130.84 = 1,111.56 : x
  2. Step 2: Convert to fraction form
    3,420/5,130.84 = 1,111.56/x
  3. Step 3: Cross multiply
    3,420x = 5,130.84 × 1,111.56
  4. Step 4: Simplify right side
    3,420x = 5,703,236.51
  5. Step 5: Solve for x
    x = 5,703,236.51/3,420
  6. Step 6: Final answer
    x = 1,667.61

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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.