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Finding the Fourth Proportional to 8,912.98, 13,357.88 and 3,641.82

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Solution

The fourth proportional to 8,912.98, 13,357.88 and 3,641.82 is: 5,457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,912.98 : 13,357.88 = 3,641.82 : x
  2. Step 2: Convert to fraction form
    8,912.98/13,357.88 = 3,641.82/x
  3. Step 3: Cross multiply
    8,912.98x = 13,357.88 × 3,641.82
  4. Step 4: Simplify right side
    8,912.98x = 48,646,994.54
  5. Step 5: Solve for x
    x = 48,646,994.54/8,912.98
  6. Step 6: Final answer
    x = 5,457.99

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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.