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Finding the Fourth Proportional to 1,421.88, 1,962.21 and 832.43

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Solution

The fourth proportional to 1,421.88, 1,962.21 and 832.43 is: 1,148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.88 : 1,962.21 = 832.43 : x
  2. Step 2: Convert to fraction form
    1,421.88/1,962.21 = 832.43/x
  3. Step 3: Cross multiply
    1,421.88x = 1,962.21 × 832.43
  4. Step 4: Simplify right side
    1,421.88x = 1,633,392.66
  5. Step 5: Solve for x
    x = 1,633,392.66/1,421.88
  6. Step 6: Final answer
    x = 1,148.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.