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Finding the Fourth Proportional to 4,542.61, 6,813.09 and 1,255

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Solution

The fourth proportional to 4,542.61, 6,813.09 and 1,255 is: 1,882.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.61 : 6,813.09 = 1,255 : x
  2. Step 2: Convert to fraction form
    4,542.61/6,813.09 = 1,255/x
  3. Step 3: Cross multiply
    4,542.61x = 6,813.09 × 1,255
  4. Step 4: Simplify right side
    4,542.61x = 8,550,427.95
  5. Step 5: Solve for x
    x = 8,550,427.95/4,542.61
  6. Step 6: Final answer
    x = 1,882.27

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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.