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Finding the Fourth Proportional to 5,297.04, 7,929.10 and 3,911.94

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Solution

The fourth proportional to 5,297.04, 7,929.10 and 3,911.94 is: 5,855.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.04 : 7,929.10 = 3,911.94 : x
  2. Step 2: Convert to fraction form
    5,297.04/7,929.10 = 3,911.94/x
  3. Step 3: Cross multiply
    5,297.04x = 7,929.10 × 3,911.94
  4. Step 4: Simplify right side
    5,297.04x = 31,018,163.45
  5. Step 5: Solve for x
    x = 31,018,163.45/5,297.04
  6. Step 6: Final answer
    x = 5,855.75

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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.