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Finding the Fourth Proportional to 3,897.68, 5,842.70 and 1,556.98

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Solution

The fourth proportional to 3,897.68, 5,842.70 and 1,556.98 is: 2,333.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.68 : 5,842.70 = 1,556.98 : x
  2. Step 2: Convert to fraction form
    3,897.68/5,842.70 = 1,556.98/x
  3. Step 3: Cross multiply
    3,897.68x = 5,842.70 × 1,556.98
  4. Step 4: Simplify right side
    3,897.68x = 9,096,967.05
  5. Step 5: Solve for x
    x = 9,096,967.05/3,897.68
  6. Step 6: Final answer
    x = 2,333.94

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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.