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Finding the Fourth Proportional to 1,900.96, 2,852.36 and 861.68

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Solution

The fourth proportional to 1,900.96, 2,852.36 and 861.68 is: 1,292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.96 : 2,852.36 = 861.68 : x
  2. Step 2: Convert to fraction form
    1,900.96/2,852.36 = 861.68/x
  3. Step 3: Cross multiply
    1,900.96x = 2,852.36 × 861.68
  4. Step 4: Simplify right side
    1,900.96x = 2,457,821.56
  5. Step 5: Solve for x
    x = 2,457,821.56/1,900.96
  6. Step 6: Final answer
    x = 1,292.94

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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.