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Finding the Fourth Proportional to 5,798, 8,697 and 2,720

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Solution

The fourth proportional to 5,798, 8,697 and 2,720 is: 4,080

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798 : 8,697 = 2,720 : x
  2. Step 2: Convert to fraction form
    5,798/8,697 = 2,720/x
  3. Step 3: Cross multiply
    5,798x = 8,697 × 2,720
  4. Step 4: Simplify right side
    5,798x = 23,655,840
  5. Step 5: Solve for x
    x = 23,655,840/5,798
  6. Step 6: Final answer
    x = 4,080

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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.