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Finding the Fourth Proportional to 2,107.53, 3,162.02 and 937.63

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Solution

The fourth proportional to 2,107.53, 3,162.02 and 937.63 is: 1,406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.53 : 3,162.02 = 937.63 : x
  2. Step 2: Convert to fraction form
    2,107.53/3,162.02 = 937.63/x
  3. Step 3: Cross multiply
    2,107.53x = 3,162.02 × 937.63
  4. Step 4: Simplify right side
    2,107.53x = 2,964,804.81
  5. Step 5: Solve for x
    x = 2,964,804.81/2,107.53
  6. Step 6: Final answer
    x = 1,406.77

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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.