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Finding the Fourth Proportional to 6,302.06, 8,696.72 and 3,945.50

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Solution

The fourth proportional to 6,302.06, 8,696.72 and 3,945.50 is: 5,444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.06 : 8,696.72 = 3,945.50 : x
  2. Step 2: Convert to fraction form
    6,302.06/8,696.72 = 3,945.50/x
  3. Step 3: Cross multiply
    6,302.06x = 8,696.72 × 3,945.50
  4. Step 4: Simplify right side
    6,302.06x = 34,312,908.76
  5. Step 5: Solve for x
    x = 34,312,908.76/6,302.06
  6. Step 6: Final answer
    x = 5,444.71

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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.