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Finding the Fourth Proportional to 2,093.76, 3,141.06 and 632.88

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Solution

The fourth proportional to 2,093.76, 3,141.06 and 632.88 is: 949.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.76 : 3,141.06 = 632.88 : x
  2. Step 2: Convert to fraction form
    2,093.76/3,141.06 = 632.88/x
  3. Step 3: Cross multiply
    2,093.76x = 3,141.06 × 632.88
  4. Step 4: Simplify right side
    2,093.76x = 1,987,914.05
  5. Step 5: Solve for x
    x = 1,987,914.05/2,093.76
  6. Step 6: Final answer
    x = 949.45

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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.