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Finding the Fourth Proportional to 16,686.92, 23,025.68 and 9,971.13

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Solution

The fourth proportional to 16,686.92, 23,025.68 and 9,971.13 is: 13,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,686.92 : 23,025.68 = 9,971.13 : x
  2. Step 2: Convert to fraction form
    16,686.92/23,025.68 = 9,971.13/x
  3. Step 3: Cross multiply
    16,686.92x = 23,025.68 × 9,971.13
  4. Step 4: Simplify right side
    16,686.92x = 229,592,048.62
  5. Step 5: Solve for x
    x = 229,592,048.62/16,686.92
  6. Step 6: Final answer
    x = 13,758.80

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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.