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Finding the Fourth Proportional to 2,157.05, 2,976.80 and 1,213.02

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Solution

The fourth proportional to 2,157.05, 2,976.80 and 1,213.02 is: 1,674.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.05 : 2,976.80 = 1,213.02 : x
  2. Step 2: Convert to fraction form
    2,157.05/2,976.80 = 1,213.02/x
  3. Step 3: Cross multiply
    2,157.05x = 2,976.80 × 1,213.02
  4. Step 4: Simplify right side
    2,157.05x = 3,610,911.87
  5. Step 5: Solve for x
    x = 3,610,911.87/2,157.05
  6. Step 6: Final answer
    x = 1,674.01

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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.