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Finding the Fourth Proportional to 7,920, 10,929.60 and 4,608

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Solution

The fourth proportional to 7,920, 10,929.60 and 4,608 is: 6,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920 : 10,929.60 = 4,608 : x
  2. Step 2: Convert to fraction form
    7,920/10,929.60 = 4,608/x
  3. Step 3: Cross multiply
    7,920x = 10,929.60 × 4,608
  4. Step 4: Simplify right side
    7,920x = 50,363,596.80
  5. Step 5: Solve for x
    x = 50,363,596.80/7,920
  6. Step 6: Final answer
    x = 6,359.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.