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Finding the Fourth Proportional to 16,971.49, 23,420.02 and 9,418.15

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Solution

The fourth proportional to 16,971.49, 23,420.02 and 9,418.15 is: 12,996.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971.49 : 23,420.02 = 9,418.15 : x
  2. Step 2: Convert to fraction form
    16,971.49/23,420.02 = 9,418.15/x
  3. Step 3: Cross multiply
    16,971.49x = 23,420.02 × 9,418.15
  4. Step 4: Simplify right side
    16,971.49x = 220,573,261.36
  5. Step 5: Solve for x
    x = 220,573,261.36/16,971.49
  6. Step 6: Final answer
    x = 12,996.69

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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.