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Finding the Fourth Proportional to 4,930.63, 7,396.40 and 1,809.88

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Solution

The fourth proportional to 4,930.63, 7,396.40 and 1,809.88 is: 2,714.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.63 : 7,396.40 = 1,809.88 : x
  2. Step 2: Convert to fraction form
    4,930.63/7,396.40 = 1,809.88/x
  3. Step 3: Cross multiply
    4,930.63x = 7,396.40 × 1,809.88
  4. Step 4: Simplify right side
    4,930.63x = 13,386,582.47
  5. Step 5: Solve for x
    x = 13,386,582.47/4,930.63
  6. Step 6: Final answer
    x = 2,714.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.