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Finding the Fourth Proportional to 2,873.44, 4,307.69 and 999.09

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Solution

The fourth proportional to 2,873.44, 4,307.69 and 999.09 is: 1,497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.44 : 4,307.69 = 999.09 : x
  2. Step 2: Convert to fraction form
    2,873.44/4,307.69 = 999.09/x
  3. Step 3: Cross multiply
    2,873.44x = 4,307.69 × 999.09
  4. Step 4: Simplify right side
    2,873.44x = 4,303,762.98
  5. Step 5: Solve for x
    x = 4,303,762.98/2,873.44
  6. Step 6: Final answer
    x = 1,497.77

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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.