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Finding the Fourth Proportional to 2,398.80, 3,289.68 and 2,299

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Solution

The fourth proportional to 2,398.80, 3,289.68 and 2,299 is: 3,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.80 : 3,289.68 = 2,299 : x
  2. Step 2: Convert to fraction form
    2,398.80/3,289.68 = 2,299/x
  3. Step 3: Cross multiply
    2,398.80x = 3,289.68 × 2,299
  4. Step 4: Simplify right side
    2,398.80x = 7,562,974.32
  5. Step 5: Solve for x
    x = 7,562,974.32/2,398.80
  6. Step 6: Final answer
    x = 3,152.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.