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Finding the Fourth Proportional to 3,270.39, 4,905.08 and 930.51

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Solution

The fourth proportional to 3,270.39, 4,905.08 and 930.51 is: 1,395.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.39 : 4,905.08 = 930.51 : x
  2. Step 2: Convert to fraction form
    3,270.39/4,905.08 = 930.51/x
  3. Step 3: Cross multiply
    3,270.39x = 4,905.08 × 930.51
  4. Step 4: Simplify right side
    3,270.39x = 4,564,221.34
  5. Step 5: Solve for x
    x = 4,564,221.34/3,270.39
  6. Step 6: Final answer
    x = 1,395.62

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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.