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Finding the Fourth Proportional to 6,884, 10,324.45 and 1,953.53

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Solution

The fourth proportional to 6,884, 10,324.45 and 1,953.53 is: 2,929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884 : 10,324.45 = 1,953.53 : x
  2. Step 2: Convert to fraction form
    6,884/10,324.45 = 1,953.53/x
  3. Step 3: Cross multiply
    6,884x = 10,324.45 × 1,953.53
  4. Step 4: Simplify right side
    6,884x = 20,169,122.81
  5. Step 5: Solve for x
    x = 20,169,122.81/6,884
  6. Step 6: Final answer
    x = 2,929.86

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Why These Related Problems?

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