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Finding the Fourth Proportional to 13,123.65, 19,688.97 and 6,881.97

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Solution

The fourth proportional to 13,123.65, 19,688.97 and 6,881.97 is: 10,324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.65 : 19,688.97 = 6,881.97 : x
  2. Step 2: Convert to fraction form
    13,123.65/19,688.97 = 6,881.97/x
  3. Step 3: Cross multiply
    13,123.65x = 19,688.97 × 6,881.97
  4. Step 4: Simplify right side
    13,123.65x = 135,498,900.87
  5. Step 5: Solve for x
    x = 135,498,900.87/13,123.65
  6. Step 6: Final answer
    x = 10,324.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.