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Finding the Fourth Proportional to 3,023.14, 4,534.71 and 832.20

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Solution

The fourth proportional to 3,023.14, 4,534.71 and 832.20 is: 1,248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.14 : 4,534.71 = 832.20 : x
  2. Step 2: Convert to fraction form
    3,023.14/4,534.71 = 832.20/x
  3. Step 3: Cross multiply
    3,023.14x = 4,534.71 × 832.20
  4. Step 4: Simplify right side
    3,023.14x = 3,773,785.66
  5. Step 5: Solve for x
    x = 3,773,785.66/3,023.14
  6. Step 6: Final answer
    x = 1,248.30

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1.5x scale

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.