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Finding the Fourth Proportional to 9,103.77, 13,627.71 and 6,638.00

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Solution

The fourth proportional to 9,103.77, 13,627.71 and 6,638.00 is: 9,936.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.77 : 13,627.71 = 6,638.00 : x
  2. Step 2: Convert to fraction form
    9,103.77/13,627.71 = 6,638.00/x
  3. Step 3: Cross multiply
    9,103.77x = 13,627.71 × 6,638.00
  4. Step 4: Simplify right side
    9,103.77x = 90,460,670.84
  5. Step 5: Solve for x
    x = 90,460,670.84/9,103.77
  6. Step 6: Final answer
    x = 9,936.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.