Home / 3,430-4,734.56-2,137.48

Finding the Fourth Proportional to 3,430, 4,734.56 and 2,137.48

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Solution

The fourth proportional to 3,430, 4,734.56 and 2,137.48 is: 2,950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430 : 4,734.56 = 2,137.48 : x
  2. Step 2: Convert to fraction form
    3,430/4,734.56 = 2,137.48/x
  3. Step 3: Cross multiply
    3,430x = 4,734.56 × 2,137.48
  4. Step 4: Simplify right side
    3,430x = 10,120,027.31
  5. Step 5: Solve for x
    x = 10,120,027.31/3,430
  6. Step 6: Final answer
    x = 2,950.45

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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.