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Finding the Fourth Proportional to 2,215, 3,056.88 and 1,283.50

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Solution

The fourth proportional to 2,215, 3,056.88 and 1,283.50 is: 1,771.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215 : 3,056.88 = 1,283.50 : x
  2. Step 2: Convert to fraction form
    2,215/3,056.88 = 1,283.50/x
  3. Step 3: Cross multiply
    2,215x = 3,056.88 × 1,283.50
  4. Step 4: Simplify right side
    2,215x = 3,923,505.48
  5. Step 5: Solve for x
    x = 3,923,505.48/2,215
  6. Step 6: Final answer
    x = 1,771.33

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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.