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Finding the Fourth Proportional to 2,207, 3,045.56 and 1,322.64

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Solution

The fourth proportional to 2,207, 3,045.56 and 1,322.64 is: 1,825.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207 : 3,045.56 = 1,322.64 : x
  2. Step 2: Convert to fraction form
    2,207/3,045.56 = 1,322.64/x
  3. Step 3: Cross multiply
    2,207x = 3,045.56 × 1,322.64
  4. Step 4: Simplify right side
    2,207x = 4,028,179.48
  5. Step 5: Solve for x
    x = 4,028,179.48/2,207
  6. Step 6: Final answer
    x = 1,825.18

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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.