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Finding the Fourth Proportional to 3,897, 5,845.70 and 1,300.14

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Solution

The fourth proportional to 3,897, 5,845.70 and 1,300.14 is: 1,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897 : 5,845.70 = 1,300.14 : x
  2. Step 2: Convert to fraction form
    3,897/5,845.70 = 1,300.14/x
  3. Step 3: Cross multiply
    3,897x = 5,845.70 × 1,300.14
  4. Step 4: Simplify right side
    3,897x = 7,600,221.90
  5. Step 5: Solve for x
    x = 7,600,221.90/3,897
  6. Step 6: Final answer
    x = 1,950.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.