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Finding the Fourth Proportional to 7,116, 10,674 and 1,921.88

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Solution

The fourth proportional to 7,116, 10,674 and 1,921.88 is: 2,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116 : 10,674 = 1,921.88 : x
  2. Step 2: Convert to fraction form
    7,116/10,674 = 1,921.88/x
  3. Step 3: Cross multiply
    7,116x = 10,674 × 1,921.88
  4. Step 4: Simplify right side
    7,116x = 20,514,093.75
  5. Step 5: Solve for x
    x = 20,514,093.75/7,116
  6. Step 6: Final answer
    x = 2,882.81

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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.