Home / 5,406-7,457.40-3,634.56

Finding the Fourth Proportional to 5,406, 7,457.40 and 3,634.56

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Solution

The fourth proportional to 5,406, 7,457.40 and 3,634.56 is: 5,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406 : 7,457.40 = 3,634.56 : x
  2. Step 2: Convert to fraction form
    5,406/7,457.40 = 3,634.56/x
  3. Step 3: Cross multiply
    5,406x = 7,457.40 × 3,634.56
  4. Step 4: Simplify right side
    5,406x = 27,104,367.74
  5. Step 5: Solve for x
    x = 27,104,367.74/5,406
  6. Step 6: Final answer
    x = 5,013.76

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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.