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Finding the Fourth Proportional to 5,798, 8,004.70 and 3,812

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Solution

The fourth proportional to 5,798, 8,004.70 and 3,812 is: 5,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798 : 8,004.70 = 3,812 : x
  2. Step 2: Convert to fraction form
    5,798/8,004.70 = 3,812/x
  3. Step 3: Cross multiply
    5,798x = 8,004.70 × 3,812
  4. Step 4: Simplify right side
    5,798x = 30,513,916.40
  5. Step 5: Solve for x
    x = 30,513,916.40/5,798
  6. Step 6: Final answer
    x = 5,262.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.