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Finding the Fourth Proportional to 5,429, 8,143.82 and 1,781

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Solution

The fourth proportional to 5,429, 8,143.82 and 1,781 is: 2,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429 : 8,143.82 = 1,781 : x
  2. Step 2: Convert to fraction form
    5,429/8,143.82 = 1,781/x
  3. Step 3: Cross multiply
    5,429x = 8,143.82 × 1,781
  4. Step 4: Simplify right side
    5,429x = 14,504,143.42
  5. Step 5: Solve for x
    x = 14,504,143.42/5,429
  6. Step 6: Final answer
    x = 2,671.60

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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.