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Finding the Fourth Proportional to 2,139.02, 3,209.01 and 678.26

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Solution

The fourth proportional to 2,139.02, 3,209.01 and 678.26 is: 1,017.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.02 : 3,209.01 = 678.26 : x
  2. Step 2: Convert to fraction form
    2,139.02/3,209.01 = 678.26/x
  3. Step 3: Cross multiply
    2,139.02x = 3,209.01 × 678.26
  4. Step 4: Simplify right side
    2,139.02x = 2,176,543.12
  5. Step 5: Solve for x
    x = 2,176,543.12/2,139.02
  6. Step 6: Final answer
    x = 1,017.54

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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.