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Finding the Fourth Proportional to 17,878.78, 24,673.88 and 9,921.88

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Solution

The fourth proportional to 17,878.78, 24,673.88 and 9,921.88 is: 13,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.78 : 24,673.88 = 9,921.88 : x
  2. Step 2: Convert to fraction form
    17,878.78/24,673.88 = 9,921.88/x
  3. Step 3: Cross multiply
    17,878.78x = 24,673.88 × 9,921.88
  4. Step 4: Simplify right side
    17,878.78x = 244,811,276.49
  5. Step 5: Solve for x
    x = 244,811,276.49/17,878.78
  6. Step 6: Final answer
    x = 13,692.84

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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.