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Finding the Fourth Proportional to 8,242, 11,373.96 and 4,930

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Solution

The fourth proportional to 8,242, 11,373.96 and 4,930 is: 6,803.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242 : 11,373.96 = 4,930 : x
  2. Step 2: Convert to fraction form
    8,242/11,373.96 = 4,930/x
  3. Step 3: Cross multiply
    8,242x = 11,373.96 × 4,930
  4. Step 4: Simplify right side
    8,242x = 56,073,622.80
  5. Step 5: Solve for x
    x = 56,073,622.80/8,242
  6. Step 6: Final answer
    x = 6,803.40

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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.