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Finding the Fourth Proportional to 9,355.50, 12,910.64 and 5,164.02

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Solution

The fourth proportional to 9,355.50, 12,910.64 and 5,164.02 is: 7,126.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.50 : 12,910.64 = 5,164.02 : x
  2. Step 2: Convert to fraction form
    9,355.50/12,910.64 = 5,164.02/x
  3. Step 3: Cross multiply
    9,355.50x = 12,910.64 × 5,164.02
  4. Step 4: Simplify right side
    9,355.50x = 66,670,777.35
  5. Step 5: Solve for x
    x = 66,670,777.35/9,355.50
  6. Step 6: Final answer
    x = 7,126.37

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