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Finding the Fourth Proportional to 8,912.50, 13,363.85 and 6,104.58

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Solution

The fourth proportional to 8,912.50, 13,363.85 and 6,104.58 is: 9,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,912.50 : 13,363.85 = 6,104.58 : x
  2. Step 2: Convert to fraction form
    8,912.50/13,363.85 = 6,104.58/x
  3. Step 3: Cross multiply
    8,912.50x = 13,363.85 × 6,104.58
  4. Step 4: Simplify right side
    8,912.50x = 81,580,594.09
  5. Step 5: Solve for x
    x = 81,580,594.09/8,912.50
  6. Step 6: Final answer
    x = 9,153.50

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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.