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Finding the Fourth Proportional to 1,372.16, 1,893.21 and 782.48

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Solution

The fourth proportional to 1,372.16, 1,893.21 and 782.48 is: 1,079.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.16 : 1,893.21 = 782.48 : x
  2. Step 2: Convert to fraction form
    1,372.16/1,893.21 = 782.48/x
  3. Step 3: Cross multiply
    1,372.16x = 1,893.21 × 782.48
  4. Step 4: Simplify right side
    1,372.16x = 1,481,389.49
  5. Step 5: Solve for x
    x = 1,481,389.49/1,372.16
  6. Step 6: Final answer
    x = 1,079.61

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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.