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Finding the Fourth Proportional to 16,719.21, 23,072.04 and 9,165.15

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Solution

The fourth proportional to 16,719.21, 23,072.04 and 9,165.15 is: 12,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,719.21 : 23,072.04 = 9,165.15 : x
  2. Step 2: Convert to fraction form
    16,719.21/23,072.04 = 9,165.15/x
  3. Step 3: Cross multiply
    16,719.21x = 23,072.04 × 9,165.15
  4. Step 4: Simplify right side
    16,719.21x = 211,458,707.41
  5. Step 5: Solve for x
    x = 211,458,707.41/16,719.21
  6. Step 6: Final answer
    x = 12,647.65

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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.