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Finding the Fourth Proportional to 2,455.64, 3,388.72 and 1,407.64

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Solution

The fourth proportional to 2,455.64, 3,388.72 and 1,407.64 is: 1,942.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,455.64 : 3,388.72 = 1,407.64 : x
  2. Step 2: Convert to fraction form
    2,455.64/3,388.72 = 1,407.64/x
  3. Step 3: Cross multiply
    2,455.64x = 3,388.72 × 1,407.64
  4. Step 4: Simplify right side
    2,455.64x = 4,770,097.82
  5. Step 5: Solve for x
    x = 4,770,097.82/2,455.64
  6. Step 6: Final answer
    x = 1,942.51

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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.