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Finding the Fourth Proportional to 27,570.80, 38,005.08 and 16,940.40

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Solution

The fourth proportional to 27,570.80, 38,005.08 and 16,940.40 is: 23,351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,570.80 : 38,005.08 = 16,940.40 : x
  2. Step 2: Convert to fraction form
    27,570.80/38,005.08 = 16,940.40/x
  3. Step 3: Cross multiply
    27,570.80x = 38,005.08 × 16,940.40
  4. Step 4: Simplify right side
    27,570.80x = 643,821,257.23
  5. Step 5: Solve for x
    x = 643,821,257.23/27,570.80
  6. Step 6: Final answer
    x = 23,351.56

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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.