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Finding the Fourth Proportional to 3,897.18, 5,845.79 and 1,300.11

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Solution

The fourth proportional to 3,897.18, 5,845.79 and 1,300.11 is: 1,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.18 : 5,845.79 = 1,300.11 : x
  2. Step 2: Convert to fraction form
    3,897.18/5,845.79 = 1,300.11/x
  3. Step 3: Cross multiply
    3,897.18x = 5,845.79 × 1,300.11
  4. Step 4: Simplify right side
    3,897.18x = 7,600,170.04
  5. Step 5: Solve for x
    x = 7,600,170.04/3,897.18
  6. Step 6: Final answer
    x = 1,950.17

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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.