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Finding the Fourth Proportional to 13,673.74, 20,510.48 and 3,813

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Solution

The fourth proportional to 13,673.74, 20,510.48 and 3,813 is: 5,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.74 : 20,510.48 = 3,813 : x
  2. Step 2: Convert to fraction form
    13,673.74/20,510.48 = 3,813/x
  3. Step 3: Cross multiply
    13,673.74x = 20,510.48 × 3,813
  4. Step 4: Simplify right side
    13,673.74x = 78,206,460.24
  5. Step 5: Solve for x
    x = 78,206,460.24/13,673.74
  6. Step 6: Final answer
    x = 5,719.46

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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.