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Finding the Fourth Proportional to 1,422.36, 1,962.54 and 832.86

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Solution

The fourth proportional to 1,422.36, 1,962.54 and 832.86 is: 1,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.36 : 1,962.54 = 832.86 : x
  2. Step 2: Convert to fraction form
    1,422.36/1,962.54 = 832.86/x
  3. Step 3: Cross multiply
    1,422.36x = 1,962.54 × 832.86
  4. Step 4: Simplify right side
    1,422.36x = 1,634,521.06
  5. Step 5: Solve for x
    x = 1,634,521.06/1,422.36
  6. Step 6: Final answer
    x = 1,149.16

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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.