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Finding the Fourth Proportional to 4,864, 7,296 and 1,401.28

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Solution

The fourth proportional to 4,864, 7,296 and 1,401.28 is: 2,101.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864 : 7,296 = 1,401.28 : x
  2. Step 2: Convert to fraction form
    4,864/7,296 = 1,401.28/x
  3. Step 3: Cross multiply
    4,864x = 7,296 × 1,401.28
  4. Step 4: Simplify right side
    4,864x = 10,223,738.88
  5. Step 5: Solve for x
    x = 10,223,738.88/4,864
  6. Step 6: Final answer
    x = 2,101.92

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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.