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Finding the Fourth Proportional to 1,956.33, 2,699.71 and 1,072.11

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Solution

The fourth proportional to 1,956.33, 2,699.71 and 1,072.11 is: 1,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.33 : 2,699.71 = 1,072.11 : x
  2. Step 2: Convert to fraction form
    1,956.33/2,699.71 = 1,072.11/x
  3. Step 3: Cross multiply
    1,956.33x = 2,699.71 × 1,072.11
  4. Step 4: Simplify right side
    1,956.33x = 2,894,386.09
  5. Step 5: Solve for x
    x = 2,894,386.09/1,956.33
  6. Step 6: Final answer
    x = 1,479.50

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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.