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Finding the Fourth Proportional to 4,802.98, 7,198.22 and 2,461

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Solution

The fourth proportional to 4,802.98, 7,198.22 and 2,461 is: 3,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.98 : 7,198.22 = 2,461 : x
  2. Step 2: Convert to fraction form
    4,802.98/7,198.22 = 2,461/x
  3. Step 3: Cross multiply
    4,802.98x = 7,198.22 × 2,461
  4. Step 4: Simplify right side
    4,802.98x = 17,714,819.42
  5. Step 5: Solve for x
    x = 17,714,819.42/4,802.98
  6. Step 6: Final answer
    x = 3,688.30

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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.