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Finding the Fourth Proportional to 5,297.76, 7,940.16 and 1,830.96

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Solution

The fourth proportional to 5,297.76, 7,940.16 and 1,830.96 is: 2,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.76 : 7,940.16 = 1,830.96 : x
  2. Step 2: Convert to fraction form
    5,297.76/7,940.16 = 1,830.96/x
  3. Step 3: Cross multiply
    5,297.76x = 7,940.16 × 1,830.96
  4. Step 4: Simplify right side
    5,297.76x = 14,538,115.35
  5. Step 5: Solve for x
    x = 14,538,115.35/5,297.76
  6. Step 6: Final answer
    x = 2,744.20

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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.