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Finding the Fourth Proportional to 27,580.80, 38,078.40 and 16,984.79

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Solution

The fourth proportional to 27,580.80, 38,078.40 and 16,984.79 is: 23,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580.80 : 38,078.40 = 16,984.79 : x
  2. Step 2: Convert to fraction form
    27,580.80/38,078.40 = 16,984.79/x
  3. Step 3: Cross multiply
    27,580.80x = 38,078.40 × 16,984.79
  4. Step 4: Simplify right side
    27,580.80x = 646,753,643.63
  5. Step 5: Solve for x
    x = 646,753,643.63/27,580.80
  6. Step 6: Final answer
    x = 23,449.41

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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.