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Finding the Fourth Proportional to 1,855.44, 2,782.53 and 1,530

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Solution

The fourth proportional to 1,855.44, 2,782.53 and 1,530 is: 2,294.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.44 : 2,782.53 = 1,530 : x
  2. Step 2: Convert to fraction form
    1,855.44/2,782.53 = 1,530/x
  3. Step 3: Cross multiply
    1,855.44x = 2,782.53 × 1,530
  4. Step 4: Simplify right side
    1,855.44x = 4,257,270.90
  5. Step 5: Solve for x
    x = 4,257,270.90/1,855.44
  6. Step 6: Final answer
    x = 2,294.48

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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.