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Finding the Fourth Proportional to 2,858.30, 3,945.06 and 1,861.80

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Solution

The fourth proportional to 2,858.30, 3,945.06 and 1,861.80 is: 2,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.30 : 3,945.06 = 1,861.80 : x
  2. Step 2: Convert to fraction form
    2,858.30/3,945.06 = 1,861.80/x
  3. Step 3: Cross multiply
    2,858.30x = 3,945.06 × 1,861.80
  4. Step 4: Simplify right side
    2,858.30x = 7,344,892.98
  5. Step 5: Solve for x
    x = 7,344,892.98/2,858.30
  6. Step 6: Final answer
    x = 2,569.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.