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Finding the Fourth Proportional to 3,168.51, 4,753.03 and 828.51

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Solution

The fourth proportional to 3,168.51, 4,753.03 and 828.51 is: 1,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.51 : 4,753.03 = 828.51 : x
  2. Step 2: Convert to fraction form
    3,168.51/4,753.03 = 828.51/x
  3. Step 3: Cross multiply
    3,168.51x = 4,753.03 × 828.51
  4. Step 4: Simplify right side
    3,168.51x = 3,937,932.89
  5. Step 5: Solve for x
    x = 3,937,932.89/3,168.51
  6. Step 6: Final answer
    x = 1,242.83

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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.