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Finding the Fourth Proportional to 1,297.96, 1,956.60 and 1,213.31

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Solution

The fourth proportional to 1,297.96, 1,956.60 and 1,213.31 is: 1,829.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.96 : 1,956.60 = 1,213.31 : x
  2. Step 2: Convert to fraction form
    1,297.96/1,956.60 = 1,213.31/x
  3. Step 3: Cross multiply
    1,297.96x = 1,956.60 × 1,213.31
  4. Step 4: Simplify right side
    1,297.96x = 2,373,967.24
  5. Step 5: Solve for x
    x = 2,373,967.24/1,297.96
  6. Step 6: Final answer
    x = 1,829.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.