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Finding the Fourth Proportional to 4,851.56, 7,277.82 and 1,929.22

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Solution

The fourth proportional to 4,851.56, 7,277.82 and 1,929.22 is: 2,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.56 : 7,277.82 = 1,929.22 : x
  2. Step 2: Convert to fraction form
    4,851.56/7,277.82 = 1,929.22/x
  3. Step 3: Cross multiply
    4,851.56x = 7,277.82 × 1,929.22
  4. Step 4: Simplify right side
    4,851.56x = 14,040,515.90
  5. Step 5: Solve for x
    x = 14,040,515.90/4,851.56
  6. Step 6: Final answer
    x = 2,894.02

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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.