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Finding the Fourth Proportional to 7,823.49, 11,665.45 and 6,954.16

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Solution

The fourth proportional to 7,823.49, 11,665.45 and 6,954.16 is: 10,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.49 : 11,665.45 = 6,954.16 : x
  2. Step 2: Convert to fraction form
    7,823.49/11,665.45 = 6,954.16/x
  3. Step 3: Cross multiply
    7,823.49x = 11,665.45 × 6,954.16
  4. Step 4: Simplify right side
    7,823.49x = 81,123,371.00
  5. Step 5: Solve for x
    x = 81,123,371.00/7,823.49
  6. Step 6: Final answer
    x = 10,369.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.