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Finding the Fourth Proportional to 15,791.76, 23,679.36 and 7,885.80

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Solution

The fourth proportional to 15,791.76, 23,679.36 and 7,885.80 is: 11,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,791.76 : 23,679.36 = 7,885.80 : x
  2. Step 2: Convert to fraction form
    15,791.76/23,679.36 = 7,885.80/x
  3. Step 3: Cross multiply
    15,791.76x = 23,679.36 × 7,885.80
  4. Step 4: Simplify right side
    15,791.76x = 186,730,697.09
  5. Step 5: Solve for x
    x = 186,730,697.09/15,791.76
  6. Step 6: Final answer
    x = 11,824.57

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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.