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Finding the Fourth Proportional to 5,811.42, 8,717 and 1,428.86

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Solution

The fourth proportional to 5,811.42, 8,717 and 1,428.86 is: 2,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.42 : 8,717 = 1,428.86 : x
  2. Step 2: Convert to fraction form
    5,811.42/8,717 = 1,428.86/x
  3. Step 3: Cross multiply
    5,811.42x = 8,717 × 1,428.86
  4. Step 4: Simplify right side
    5,811.42x = 12,455,372.62
  5. Step 5: Solve for x
    x = 12,455,372.62/5,811.42
  6. Step 6: Final answer
    x = 2,143.26

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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.