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Finding the Fourth Proportional to 2,232.56, 3,080.94 and 1,301

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Solution

The fourth proportional to 2,232.56, 3,080.94 and 1,301 is: 1,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.56 : 3,080.94 = 1,301 : x
  2. Step 2: Convert to fraction form
    2,232.56/3,080.94 = 1,301/x
  3. Step 3: Cross multiply
    2,232.56x = 3,080.94 × 1,301
  4. Step 4: Simplify right side
    2,232.56x = 4,008,302.94
  5. Step 5: Solve for x
    x = 4,008,302.94/2,232.56
  6. Step 6: Final answer
    x = 1,795.38

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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.