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Finding the Fourth Proportional to 1,704.84, 2,351.88 and 1,207.32

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Solution

The fourth proportional to 1,704.84, 2,351.88 and 1,207.32 is: 1,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.84 : 2,351.88 = 1,207.32 : x
  2. Step 2: Convert to fraction form
    1,704.84/2,351.88 = 1,207.32/x
  3. Step 3: Cross multiply
    1,704.84x = 2,351.88 × 1,207.32
  4. Step 4: Simplify right side
    1,704.84x = 2,839,471.76
  5. Step 5: Solve for x
    x = 2,839,471.76/1,704.84
  6. Step 6: Final answer
    x = 1,665.54

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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.