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Finding the Fourth Proportional to 3,926.81, 5,887.91 and 1,586.89

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Solution

The fourth proportional to 3,926.81, 5,887.91 and 1,586.89 is: 2,379.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.81 : 5,887.91 = 1,586.89 : x
  2. Step 2: Convert to fraction form
    3,926.81/5,887.91 = 1,586.89/x
  3. Step 3: Cross multiply
    3,926.81x = 5,887.91 × 1,586.89
  4. Step 4: Simplify right side
    3,926.81x = 9,343,465.50
  5. Step 5: Solve for x
    x = 9,343,465.50/3,926.81
  6. Step 6: Final answer
    x = 2,379.40

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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.