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Finding the Fourth Proportional to 7,924.49, 10,916.73 and 6,665.57

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Solution

The fourth proportional to 7,924.49, 10,916.73 and 6,665.57 is: 9,182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.49 : 10,916.73 = 6,665.57 : x
  2. Step 2: Convert to fraction form
    7,924.49/10,916.73 = 6,665.57/x
  3. Step 3: Cross multiply
    7,924.49x = 10,916.73 × 6,665.57
  4. Step 4: Simplify right side
    7,924.49x = 72,766,227.99
  5. Step 5: Solve for x
    x = 72,766,227.99/7,924.49
  6. Step 6: Final answer
    x = 9,182.45

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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.