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Finding the Fourth Proportional to 16,971, 23,419.98 and 9,519

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Solution

The fourth proportional to 16,971, 23,419.98 and 9,519 is: 13,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971 : 23,419.98 = 9,519 : x
  2. Step 2: Convert to fraction form
    16,971/23,419.98 = 9,519/x
  3. Step 3: Cross multiply
    16,971x = 23,419.98 × 9,519
  4. Step 4: Simplify right side
    16,971x = 222,934,789.62
  5. Step 5: Solve for x
    x = 222,934,789.62/16,971
  6. Step 6: Final answer
    x = 13,136.22

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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.