Home / 3,430-4,733.40-2,896.75

Finding the Fourth Proportional to 3,430, 4,733.40 and 2,896.75

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Solution

The fourth proportional to 3,430, 4,733.40 and 2,896.75 is: 3,997.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430 : 4,733.40 = 2,896.75 : x
  2. Step 2: Convert to fraction form
    3,430/4,733.40 = 2,896.75/x
  3. Step 3: Cross multiply
    3,430x = 4,733.40 × 2,896.75
  4. Step 4: Simplify right side
    3,430x = 13,711,476.45
  5. Step 5: Solve for x
    x = 13,711,476.45/3,430
  6. Step 6: Final answer
    x = 3,997.52

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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.