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Finding the Fourth Proportional to 13,709.53, 18,919.15 and 7,741.09

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Solution

The fourth proportional to 13,709.53, 18,919.15 and 7,741.09 is: 10,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.53 : 18,919.15 = 7,741.09 : x
  2. Step 2: Convert to fraction form
    13,709.53/18,919.15 = 7,741.09/x
  3. Step 3: Cross multiply
    13,709.53x = 18,919.15 × 7,741.09
  4. Step 4: Simplify right side
    13,709.53x = 146,454,842.87
  5. Step 5: Solve for x
    x = 146,454,842.87/13,709.53
  6. Step 6: Final answer
    x = 10,682.70

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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.