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Finding the Fourth Proportional to 8,539.88, 12,810.48 and 3,277.42

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Solution

The fourth proportional to 8,539.88, 12,810.48 and 3,277.42 is: 4,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.88 : 12,810.48 = 3,277.42 : x
  2. Step 2: Convert to fraction form
    8,539.88/12,810.48 = 3,277.42/x
  3. Step 3: Cross multiply
    8,539.88x = 12,810.48 × 3,277.42
  4. Step 4: Simplify right side
    8,539.88x = 41,985,323.36
  5. Step 5: Solve for x
    x = 41,985,323.36/8,539.88
  6. Step 6: Final answer
    x = 4,916.38

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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.