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Finding the Fourth Proportional to 1,861.68, 2,784.82 and 1,528.87

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Solution

The fourth proportional to 1,861.68, 2,784.82 and 1,528.87 is: 2,286.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.68 : 2,784.82 = 1,528.87 : x
  2. Step 2: Convert to fraction form
    1,861.68/2,784.82 = 1,528.87/x
  3. Step 3: Cross multiply
    1,861.68x = 2,784.82 × 1,528.87
  4. Step 4: Simplify right side
    1,861.68x = 4,257,627.75
  5. Step 5: Solve for x
    x = 4,257,627.75/1,861.68
  6. Step 6: Final answer
    x = 2,286.98

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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.