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Finding the Fourth Proportional to 32,604, 48,906 and 7,980

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Solution

The fourth proportional to 32,604, 48,906 and 7,980 is: 11,970

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,604 : 48,906 = 7,980 : x
  2. Step 2: Convert to fraction form
    32,604/48,906 = 7,980/x
  3. Step 3: Cross multiply
    32,604x = 48,906 × 7,980
  4. Step 4: Simplify right side
    32,604x = 390,269,880
  5. Step 5: Solve for x
    x = 390,269,880/32,604
  6. Step 6: Final answer
    x = 11,970

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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.