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Finding the Fourth Proportional to 15,791.40, 23,670.90 and 9,214.20

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Solution

The fourth proportional to 15,791.40, 23,670.90 and 9,214.20 is: 13,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,791.40 : 23,670.90 = 9,214.20 : x
  2. Step 2: Convert to fraction form
    15,791.40/23,670.90 = 9,214.20/x
  3. Step 3: Cross multiply
    15,791.40x = 23,670.90 × 9,214.20
  4. Step 4: Simplify right side
    15,791.40x = 218,108,406.78
  5. Step 5: Solve for x
    x = 218,108,406.78/15,791.40
  6. Step 6: Final answer
    x = 13,811.85

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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.