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Finding the Fourth Proportional to 2,149.02, 3,222.54 and 915.84

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Solution

The fourth proportional to 2,149.02, 3,222.54 and 915.84 is: 1,373.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.02 : 3,222.54 = 915.84 : x
  2. Step 2: Convert to fraction form
    2,149.02/3,222.54 = 915.84/x
  3. Step 3: Cross multiply
    2,149.02x = 3,222.54 × 915.84
  4. Step 4: Simplify right side
    2,149.02x = 2,951,331.03
  5. Step 5: Solve for x
    x = 2,951,331.03/2,149.02
  6. Step 6: Final answer
    x = 1,373.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.