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Finding the Fourth Proportional to 4,799, 7,199.22 and 1,721.72

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Solution

The fourth proportional to 4,799, 7,199.22 and 1,721.72 is: 2,582.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,799 : 7,199.22 = 1,721.72 : x
  2. Step 2: Convert to fraction form
    4,799/7,199.22 = 1,721.72/x
  3. Step 3: Cross multiply
    4,799x = 7,199.22 × 1,721.72
  4. Step 4: Simplify right side
    4,799x = 12,395,041.06
  5. Step 5: Solve for x
    x = 12,395,041.06/4,799
  6. Step 6: Final answer
    x = 2,582.84

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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.