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Finding the Fourth Proportional to 1,974.08, 2,961.60 and 606.08

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Solution

The fourth proportional to 1,974.08, 2,961.60 and 606.08 is: 909.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.08 : 2,961.60 = 606.08 : x
  2. Step 2: Convert to fraction form
    1,974.08/2,961.60 = 606.08/x
  3. Step 3: Cross multiply
    1,974.08x = 2,961.60 × 606.08
  4. Step 4: Simplify right side
    1,974.08x = 1,794,966.53
  5. Step 5: Solve for x
    x = 1,794,966.53/1,974.08
  6. Step 6: Final answer
    x = 909.27

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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.