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Finding the Fourth Proportional to 8,655.54, 12,984.93 and 2,813.82

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Solution

The fourth proportional to 8,655.54, 12,984.93 and 2,813.82 is: 4,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,655.54 : 12,984.93 = 2,813.82 : x
  2. Step 2: Convert to fraction form
    8,655.54/12,984.93 = 2,813.82/x
  3. Step 3: Cross multiply
    8,655.54x = 12,984.93 × 2,813.82
  4. Step 4: Simplify right side
    8,655.54x = 36,537,255.73
  5. Step 5: Solve for x
    x = 36,537,255.73/8,655.54
  6. Step 6: Final answer
    x = 4,221.26

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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.