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Finding the Fourth Proportional to 8,201, 12,301.32 and 2,357.60

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Solution

The fourth proportional to 8,201, 12,301.32 and 2,357.60 is: 3,536.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201 : 12,301.32 = 2,357.60 : x
  2. Step 2: Convert to fraction form
    8,201/12,301.32 = 2,357.60/x
  3. Step 3: Cross multiply
    8,201x = 12,301.32 × 2,357.60
  4. Step 4: Simplify right side
    8,201x = 29,001,592.03
  5. Step 5: Solve for x
    x = 29,001,592.03/8,201
  6. Step 6: Final answer
    x = 3,536.35

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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.