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Finding the Fourth Proportional to 2,778, 4,157.16 and 1,738.50

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Solution

The fourth proportional to 2,778, 4,157.16 and 1,738.50 is: 2,601.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778 : 4,157.16 = 1,738.50 : x
  2. Step 2: Convert to fraction form
    2,778/4,157.16 = 1,738.50/x
  3. Step 3: Cross multiply
    2,778x = 4,157.16 × 1,738.50
  4. Step 4: Simplify right side
    2,778x = 7,227,222.66
  5. Step 5: Solve for x
    x = 7,227,222.66/2,778
  6. Step 6: Final answer
    x = 2,601.59

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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.