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Finding the Fourth Proportional to 2,975, 4,099.02 and 2,088.32

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Solution

The fourth proportional to 2,975, 4,099.02 and 2,088.32 is: 2,877.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975 : 4,099.02 = 2,088.32 : x
  2. Step 2: Convert to fraction form
    2,975/4,099.02 = 2,088.32/x
  3. Step 3: Cross multiply
    2,975x = 4,099.02 × 2,088.32
  4. Step 4: Simplify right side
    2,975x = 8,560,065.45
  5. Step 5: Solve for x
    x = 8,560,065.45/2,975
  6. Step 6: Final answer
    x = 2,877.33

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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.