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Finding the Fourth Proportional to 13,686.41, 18,885.74 and 8,020.03

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Solution

The fourth proportional to 13,686.41, 18,885.74 and 8,020.03 is: 11,066.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.41 : 18,885.74 = 8,020.03 : x
  2. Step 2: Convert to fraction form
    13,686.41/18,885.74 = 8,020.03/x
  3. Step 3: Cross multiply
    13,686.41x = 18,885.74 × 8,020.03
  4. Step 4: Simplify right side
    13,686.41x = 151,464,201.37
  5. Step 5: Solve for x
    x = 151,464,201.37/13,686.41
  6. Step 6: Final answer
    x = 11,066.76

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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.