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Finding the Fourth Proportional to 15,857.72, 23,748.69 and 8,820.25

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Solution

The fourth proportional to 15,857.72, 23,748.69 and 8,820.25 is: 13,209.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.72 : 23,748.69 = 8,820.25 : x
  2. Step 2: Convert to fraction form
    15,857.72/23,748.69 = 8,820.25/x
  3. Step 3: Cross multiply
    15,857.72x = 23,748.69 × 8,820.25
  4. Step 4: Simplify right side
    15,857.72x = 209,469,523.66
  5. Step 5: Solve for x
    x = 209,469,523.66/15,857.72
  6. Step 6: Final answer
    x = 13,209.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.