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Finding the Fourth Proportional to 13,040.40, 19,562.40 and 5,141.40

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Solution

The fourth proportional to 13,040.40, 19,562.40 and 5,141.40 is: 7,712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,040.40 : 19,562.40 = 5,141.40 : x
  2. Step 2: Convert to fraction form
    13,040.40/19,562.40 = 5,141.40/x
  3. Step 3: Cross multiply
    13,040.40x = 19,562.40 × 5,141.40
  4. Step 4: Simplify right side
    13,040.40x = 100,578,123.36
  5. Step 5: Solve for x
    x = 100,578,123.36/13,040.40
  6. Step 6: Final answer
    x = 7,712.81

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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.