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Finding the Fourth Proportional to 2,380.89, 3,287.25 and 1,485

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Solution

The fourth proportional to 2,380.89, 3,287.25 and 1,485 is: 2,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.89 : 3,287.25 = 1,485 : x
  2. Step 2: Convert to fraction form
    2,380.89/3,287.25 = 1,485/x
  3. Step 3: Cross multiply
    2,380.89x = 3,287.25 × 1,485
  4. Step 4: Simplify right side
    2,380.89x = 4,881,566.25
  5. Step 5: Solve for x
    x = 4,881,566.25/2,380.89
  6. Step 6: Final answer
    x = 2,050.31

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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.