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Finding the Fourth Proportional to 2,129.52, 3,192.12 and 829.20

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Solution

The fourth proportional to 2,129.52, 3,192.12 and 829.20 is: 1,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.52 : 3,192.12 = 829.20 : x
  2. Step 2: Convert to fraction form
    2,129.52/3,192.12 = 829.20/x
  3. Step 3: Cross multiply
    2,129.52x = 3,192.12 × 829.20
  4. Step 4: Simplify right side
    2,129.52x = 2,646,905.90
  5. Step 5: Solve for x
    x = 2,646,905.90/2,129.52
  6. Step 6: Final answer
    x = 1,242.96

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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.