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Finding the Fourth Proportional to 8,047, 12,071.58 and 3,431.08

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Solution

The fourth proportional to 8,047, 12,071.58 and 3,431.08 is: 5,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,047 : 12,071.58 = 3,431.08 : x
  2. Step 2: Convert to fraction form
    8,047/12,071.58 = 3,431.08/x
  3. Step 3: Cross multiply
    8,047x = 12,071.58 × 3,431.08
  4. Step 4: Simplify right side
    8,047x = 41,418,556.71
  5. Step 5: Solve for x
    x = 41,418,556.71/8,047
  6. Step 6: Final answer
    x = 5,147.08

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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.