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Finding the Fourth Proportional to 2,091.99, 3,138.01 and 631.06

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Solution

The fourth proportional to 2,091.99, 3,138.01 and 631.06 is: 946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.99 : 3,138.01 = 631.06 : x
  2. Step 2: Convert to fraction form
    2,091.99/3,138.01 = 631.06/x
  3. Step 3: Cross multiply
    2,091.99x = 3,138.01 × 631.06
  4. Step 4: Simplify right side
    2,091.99x = 1,980,263.17
  5. Step 5: Solve for x
    x = 1,980,263.17/2,091.99
  6. Step 6: Final answer
    x = 946.59

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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.