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Finding the Fourth Proportional to 1,974.18, 2,961.43 and 657.89

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Solution

The fourth proportional to 1,974.18, 2,961.43 and 657.89 is: 986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.18 : 2,961.43 = 657.89 : x
  2. Step 2: Convert to fraction form
    1,974.18/2,961.43 = 657.89/x
  3. Step 3: Cross multiply
    1,974.18x = 2,961.43 × 657.89
  4. Step 4: Simplify right side
    1,974.18x = 1,948,295.18
  5. Step 5: Solve for x
    x = 1,948,295.18/1,974.18
  6. Step 6: Final answer
    x = 986.89

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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.