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Finding the Fourth Proportional to 1,967.96, 2,715.75 and 1,083.76

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Solution

The fourth proportional to 1,967.96, 2,715.75 and 1,083.76 is: 1,495.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.96 : 2,715.75 = 1,083.76 : x
  2. Step 2: Convert to fraction form
    1,967.96/2,715.75 = 1,083.76/x
  3. Step 3: Cross multiply
    1,967.96x = 2,715.75 × 1,083.76
  4. Step 4: Simplify right side
    1,967.96x = 2,943,227.03
  5. Step 5: Solve for x
    x = 2,943,227.03/1,967.96
  6. Step 6: Final answer
    x = 1,495.57

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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.