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Finding the Fourth Proportional to 7,398, 10,209.24 and 4,086

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Solution

The fourth proportional to 7,398, 10,209.24 and 4,086 is: 5,638.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,398 : 10,209.24 = 4,086 : x
  2. Step 2: Convert to fraction form
    7,398/10,209.24 = 4,086/x
  3. Step 3: Cross multiply
    7,398x = 10,209.24 × 4,086
  4. Step 4: Simplify right side
    7,398x = 41,714,954.64
  5. Step 5: Solve for x
    x = 41,714,954.64/7,398
  6. Step 6: Final answer
    x = 5,638.68

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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.