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Finding the Fourth Proportional to 7,921, 10,930.98 and 4,609

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Solution

The fourth proportional to 7,921, 10,930.98 and 4,609 is: 6,360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921 : 10,930.98 = 4,609 : x
  2. Step 2: Convert to fraction form
    7,921/10,930.98 = 4,609/x
  3. Step 3: Cross multiply
    7,921x = 10,930.98 × 4,609
  4. Step 4: Simplify right side
    7,921x = 50,380,886.82
  5. Step 5: Solve for x
    x = 50,380,886.82/7,921
  6. Step 6: Final answer
    x = 6,360.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.