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Finding the Fourth Proportional to 3,023.19, 4,534.90 and 832.09

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Solution

The fourth proportional to 3,023.19, 4,534.90 and 832.09 is: 1,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.19 : 4,534.90 = 832.09 : x
  2. Step 2: Convert to fraction form
    3,023.19/4,534.90 = 832.09/x
  3. Step 3: Cross multiply
    3,023.19x = 4,534.90 × 832.09
  4. Step 4: Simplify right side
    3,023.19x = 3,773,418.11
  5. Step 5: Solve for x
    x = 3,773,418.11/3,023.19
  6. Step 6: Final answer
    x = 1,248.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.