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Finding the Fourth Proportional to 3,270.31, 4,904.48 and 930.15

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Solution

The fourth proportional to 3,270.31, 4,904.48 and 930.15 is: 1,394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.31 : 4,904.48 = 930.15 : x
  2. Step 2: Convert to fraction form
    3,270.31/4,904.48 = 930.15/x
  3. Step 3: Cross multiply
    3,270.31x = 4,904.48 × 930.15
  4. Step 4: Simplify right side
    3,270.31x = 4,561,904.40
  5. Step 5: Solve for x
    x = 4,561,904.40/3,270.31
  6. Step 6: Final answer
    x = 1,394.95

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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.