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Finding the Fourth Proportional to 11,912.70, 17,909.55 and 9,737.22

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Solution

The fourth proportional to 11,912.70, 17,909.55 and 9,737.22 is: 14,638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.70 : 17,909.55 = 9,737.22 : x
  2. Step 2: Convert to fraction form
    11,912.70/17,909.55 = 9,737.22/x
  3. Step 3: Cross multiply
    11,912.70x = 17,909.55 × 9,737.22
  4. Step 4: Simplify right side
    11,912.70x = 174,389,228.45
  5. Step 5: Solve for x
    x = 174,389,228.45/11,912.70
  6. Step 6: Final answer
    x = 14,638.93

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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.