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Finding the Fourth Proportional to 31,523.81, 47,253.81 and 20,437.55

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Solution

The fourth proportional to 31,523.81, 47,253.81 and 20,437.55 is: 30,635.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,523.81 : 47,253.81 = 20,437.55 : x
  2. Step 2: Convert to fraction form
    31,523.81/47,253.81 = 20,437.55/x
  3. Step 3: Cross multiply
    31,523.81x = 47,253.81 × 20,437.55
  4. Step 4: Simplify right side
    31,523.81x = 965,751,868.30
  5. Step 5: Solve for x
    x = 965,751,868.30/31,523.81
  6. Step 6: Final answer
    x = 30,635.64

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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.