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Finding the Fourth Proportional to 13,009.65, 17,948.89 and 7,343.73

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Solution

The fourth proportional to 13,009.65, 17,948.89 and 7,343.73 is: 10,131.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.65 : 17,948.89 = 7,343.73 : x
  2. Step 2: Convert to fraction form
    13,009.65/17,948.89 = 7,343.73/x
  3. Step 3: Cross multiply
    13,009.65x = 17,948.89 × 7,343.73
  4. Step 4: Simplify right side
    13,009.65x = 131,811,801.96
  5. Step 5: Solve for x
    x = 131,811,801.96/13,009.65
  6. Step 6: Final answer
    x = 10,131.85

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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.