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Finding the Fourth Proportional to 17,805.78, 24,549.64 and 11,421.11

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Solution

The fourth proportional to 17,805.78, 24,549.64 and 11,421.11 is: 15,746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,805.78 : 24,549.64 = 11,421.11 : x
  2. Step 2: Convert to fraction form
    17,805.78/24,549.64 = 11,421.11/x
  3. Step 3: Cross multiply
    17,805.78x = 24,549.64 × 11,421.11
  4. Step 4: Simplify right side
    17,805.78x = 280,384,138.90
  5. Step 5: Solve for x
    x = 280,384,138.90/17,805.78
  6. Step 6: Final answer
    x = 15,746.80

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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.