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Finding the Fourth Proportional to 2,139.67, 3,209.67 and 678.94

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Solution

The fourth proportional to 2,139.67, 3,209.67 and 678.94 is: 1,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.67 : 3,209.67 = 678.94 : x
  2. Step 2: Convert to fraction form
    2,139.67/3,209.67 = 678.94/x
  3. Step 3: Cross multiply
    2,139.67x = 3,209.67 × 678.94
  4. Step 4: Simplify right side
    2,139.67x = 2,179,173.35
  5. Step 5: Solve for x
    x = 2,179,173.35/2,139.67
  6. Step 6: Final answer
    x = 1,018.46

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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.