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Finding the Fourth Proportional to 13,709.31, 18,918.81 and 7,740.86

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Solution

The fourth proportional to 13,709.31, 18,918.81 and 7,740.86 is: 10,682.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.31 : 18,918.81 = 7,740.86 : x
  2. Step 2: Convert to fraction form
    13,709.31/18,918.81 = 7,740.86/x
  3. Step 3: Cross multiply
    13,709.31x = 18,918.81 × 7,740.86
  4. Step 4: Simplify right side
    13,709.31x = 146,447,835.93
  5. Step 5: Solve for x
    x = 146,447,835.93/13,709.31
  6. Step 6: Final answer
    x = 10,682.36

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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.