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Finding the Fourth Proportional to 16,681.67, 23,018.44 and 9,965.88

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Solution

The fourth proportional to 16,681.67, 23,018.44 and 9,965.88 is: 13,751.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,681.67 : 23,018.44 = 9,965.88 : x
  2. Step 2: Convert to fraction form
    16,681.67/23,018.44 = 9,965.88/x
  3. Step 3: Cross multiply
    16,681.67x = 23,018.44 × 9,965.88
  4. Step 4: Simplify right side
    16,681.67x = 229,398,845.91
  5. Step 5: Solve for x
    x = 229,398,845.91/16,681.67
  6. Step 6: Final answer
    x = 13,751.55

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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.