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Finding the Fourth Proportional to 13,709, 18,917.40 and 7,741.28

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Solution

The fourth proportional to 13,709, 18,917.40 and 7,741.28 is: 10,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709 : 18,917.40 = 7,741.28 : x
  2. Step 2: Convert to fraction form
    13,709/18,917.40 = 7,741.28/x
  3. Step 3: Cross multiply
    13,709x = 18,917.40 × 7,741.28
  4. Step 4: Simplify right side
    13,709x = 146,444,890.27
  5. Step 5: Solve for x
    x = 146,444,890.27/13,709
  6. Step 6: Final answer
    x = 10,682.39

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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.