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Finding the Fourth Proportional to 4,308.90, 5,945.36 and 2,819

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Solution

The fourth proportional to 4,308.90, 5,945.36 and 2,819 is: 3,889.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.90 : 5,945.36 = 2,819 : x
  2. Step 2: Convert to fraction form
    4,308.90/5,945.36 = 2,819/x
  3. Step 3: Cross multiply
    4,308.90x = 5,945.36 × 2,819
  4. Step 4: Simplify right side
    4,308.90x = 16,759,969.84
  5. Step 5: Solve for x
    x = 16,759,969.84/4,308.90
  6. Step 6: Final answer
    x = 3,889.62

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1.5x scale

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.