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Finding the Fourth Proportional to 17,878.82, 24,670.77 and 9,921.38

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Solution

The fourth proportional to 17,878.82, 24,670.77 and 9,921.38 is: 13,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.82 : 24,670.77 = 9,921.38 : x
  2. Step 2: Convert to fraction form
    17,878.82/24,670.77 = 9,921.38/x
  3. Step 3: Cross multiply
    17,878.82x = 24,670.77 × 9,921.38
  4. Step 4: Simplify right side
    17,878.82x = 244,768,084.06
  5. Step 5: Solve for x
    x = 244,768,084.06/17,878.82
  6. Step 6: Final answer
    x = 13,690.39

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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.