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Finding the Fourth Proportional to 8,910.83, 12,269.50 and 7,914.38

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Solution

The fourth proportional to 8,910.83, 12,269.50 and 7,914.38 is: 10,897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,910.83 : 12,269.50 = 7,914.38 : x
  2. Step 2: Convert to fraction form
    8,910.83/12,269.50 = 7,914.38/x
  3. Step 3: Cross multiply
    8,910.83x = 12,269.50 × 7,914.38
  4. Step 4: Simplify right side
    8,910.83x = 97,105,427.38
  5. Step 5: Solve for x
    x = 97,105,427.38/8,910.83
  6. Step 6: Final answer
    x = 10,897.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.