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Finding the Fourth Proportional to 13,871.67, 19,143.24 and 8,420.80

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Solution

The fourth proportional to 13,871.67, 19,143.24 and 8,420.80 is: 11,620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.67 : 19,143.24 = 8,420.80 : x
  2. Step 2: Convert to fraction form
    13,871.67/19,143.24 = 8,420.80/x
  3. Step 3: Cross multiply
    13,871.67x = 19,143.24 × 8,420.80
  4. Step 4: Simplify right side
    13,871.67x = 161,201,395.39
  5. Step 5: Solve for x
    x = 161,201,395.39/13,871.67
  6. Step 6: Final answer
    x = 11,620.91

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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.