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Finding the Fourth Proportional to 8,738, 13,109.16 and 2,582

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Solution

The fourth proportional to 8,738, 13,109.16 and 2,582 is: 3,873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738 : 13,109.16 = 2,582 : x
  2. Step 2: Convert to fraction form
    8,738/13,109.16 = 2,582/x
  3. Step 3: Cross multiply
    8,738x = 13,109.16 × 2,582
  4. Step 4: Simplify right side
    8,738x = 33,847,851.12
  5. Step 5: Solve for x
    x = 33,847,851.12/8,738
  6. Step 6: Final answer
    x = 3,873.64

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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.