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Finding the Fourth Proportional to 2,091.84, 3,138.21 and 631.01

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Solution

The fourth proportional to 2,091.84, 3,138.21 and 631.01 is: 946.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.84 : 3,138.21 = 631.01 : x
  2. Step 2: Convert to fraction form
    2,091.84/3,138.21 = 631.01/x
  3. Step 3: Cross multiply
    2,091.84x = 3,138.21 × 631.01
  4. Step 4: Simplify right side
    2,091.84x = 1,980,226.20
  5. Step 5: Solve for x
    x = 1,980,226.20/2,091.84
  6. Step 6: Final answer
    x = 946.64

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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.