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Finding the Fourth Proportional to 1,967.42, 2,715.01 and 1,083.20

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Solution

The fourth proportional to 1,967.42, 2,715.01 and 1,083.20 is: 1,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.42 : 2,715.01 = 1,083.20 : x
  2. Step 2: Convert to fraction form
    1,967.42/2,715.01 = 1,083.20/x
  3. Step 3: Cross multiply
    1,967.42x = 2,715.01 × 1,083.20
  4. Step 4: Simplify right side
    1,967.42x = 2,940,898.83
  5. Step 5: Solve for x
    x = 2,940,898.83/1,967.42
  6. Step 6: Final answer
    x = 1,494.80

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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.