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Finding the Fourth Proportional to 12,709.13, 17,538.59 and 7,741.13

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Solution

The fourth proportional to 12,709.13, 17,538.59 and 7,741.13 is: 10,682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.13 : 17,538.59 = 7,741.13 : x
  2. Step 2: Convert to fraction form
    12,709.13/17,538.59 = 7,741.13/x
  3. Step 3: Cross multiply
    12,709.13x = 17,538.59 × 7,741.13
  4. Step 4: Simplify right side
    12,709.13x = 135,768,436.87
  5. Step 5: Solve for x
    x = 135,768,436.87/12,709.13
  6. Step 6: Final answer
    x = 10,682.75

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1.5x scale

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.