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Finding the Fourth Proportional to 3,172.10, 4,758.01 and 832.07

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Solution

The fourth proportional to 3,172.10, 4,758.01 and 832.07 is: 1,248.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.10 : 4,758.01 = 832.07 : x
  2. Step 2: Convert to fraction form
    3,172.10/4,758.01 = 832.07/x
  3. Step 3: Cross multiply
    3,172.10x = 4,758.01 × 832.07
  4. Step 4: Simplify right side
    3,172.10x = 3,959,007.20
  5. Step 5: Solve for x
    x = 3,959,007.20/3,172.10
  6. Step 6: Final answer
    x = 1,248.07

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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.