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Finding the Fourth Proportional to 16,972, 23,421.36 and 9,520

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Solution

The fourth proportional to 16,972, 23,421.36 and 9,520 is: 13,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,972 : 23,421.36 = 9,520 : x
  2. Step 2: Convert to fraction form
    16,972/23,421.36 = 9,520/x
  3. Step 3: Cross multiply
    16,972x = 23,421.36 × 9,520
  4. Step 4: Simplify right side
    16,972x = 222,971,347.20
  5. Step 5: Solve for x
    x = 222,971,347.20/16,972
  6. Step 6: Final answer
    x = 13,137.60

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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.