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Finding the Fourth Proportional to 13,709.31, 18,918.86 and 7,421.68

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Solution

The fourth proportional to 13,709.31, 18,918.86 and 7,421.68 is: 10,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.31 : 18,918.86 = 7,421.68 : x
  2. Step 2: Convert to fraction form
    13,709.31/18,918.86 = 7,421.68/x
  3. Step 3: Cross multiply
    13,709.31x = 18,918.86 × 7,421.68
  4. Step 4: Simplify right side
    13,709.31x = 140,409,724.88
  5. Step 5: Solve for x
    x = 140,409,724.88/13,709.31
  6. Step 6: Final answer
    x = 10,241.93

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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.