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Finding the Fourth Proportional to 15,471.67, 23,203.79 and 7,143.69

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Solution

The fourth proportional to 15,471.67, 23,203.79 and 7,143.69 is: 10,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.67 : 23,203.79 = 7,143.69 : x
  2. Step 2: Convert to fraction form
    15,471.67/23,203.79 = 7,143.69/x
  3. Step 3: Cross multiply
    15,471.67x = 23,203.79 × 7,143.69
  4. Step 4: Simplify right side
    15,471.67x = 165,760,682.59
  5. Step 5: Solve for x
    x = 165,760,682.59/15,471.67
  6. Step 6: Final answer
    x = 10,713.82

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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.