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Finding the Fourth Proportional to 16,687, 23,031.99 and 9,975.64

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Solution

The fourth proportional to 16,687, 23,031.99 and 9,975.64 is: 13,768.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,687 : 23,031.99 = 9,975.64 : x
  2. Step 2: Convert to fraction form
    16,687/23,031.99 = 9,975.64/x
  3. Step 3: Cross multiply
    16,687x = 23,031.99 × 9,975.64
  4. Step 4: Simplify right side
    16,687x = 229,758,840.72
  5. Step 5: Solve for x
    x = 229,758,840.72/16,687
  6. Step 6: Final answer
    x = 13,768.73

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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.