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Finding the Fourth Proportional to 12,709.26, 17,538.20 and 7,044

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Solution

The fourth proportional to 12,709.26, 17,538.20 and 7,044 is: 9,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.26 : 17,538.20 = 7,044 : x
  2. Step 2: Convert to fraction form
    12,709.26/17,538.20 = 7,044/x
  3. Step 3: Cross multiply
    12,709.26x = 17,538.20 × 7,044
  4. Step 4: Simplify right side
    12,709.26x = 123,539,080.80
  5. Step 5: Solve for x
    x = 123,539,080.80/12,709.26
  6. Step 6: Final answer
    x = 9,720.40

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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.