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Finding the Fourth Proportional to 3,224.28, 4,836.46 and 915.78

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Solution

The fourth proportional to 3,224.28, 4,836.46 and 915.78 is: 1,373.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.28 : 4,836.46 = 915.78 : x
  2. Step 2: Convert to fraction form
    3,224.28/4,836.46 = 915.78/x
  3. Step 3: Cross multiply
    3,224.28x = 4,836.46 × 915.78
  4. Step 4: Simplify right side
    3,224.28x = 4,429,133.34
  5. Step 5: Solve for x
    x = 4,429,133.34/3,224.28
  6. Step 6: Final answer
    x = 1,373.68

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1.5x scale

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.