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Finding the Fourth Proportional to 32,420, 48,630 and 7,796

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Solution

The fourth proportional to 32,420, 48,630 and 7,796 is: 11,694

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,420 : 48,630 = 7,796 : x
  2. Step 2: Convert to fraction form
    32,420/48,630 = 7,796/x
  3. Step 3: Cross multiply
    32,420x = 48,630 × 7,796
  4. Step 4: Simplify right side
    32,420x = 379,119,480
  5. Step 5: Solve for x
    x = 379,119,480/32,420
  6. Step 6: Final answer
    x = 11,694

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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.