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Finding the Fourth Proportional to 30,471.64, 45,704.58 and 9,691.48

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Solution

The fourth proportional to 30,471.64, 45,704.58 and 9,691.48 is: 14,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.64 : 45,704.58 = 9,691.48 : x
  2. Step 2: Convert to fraction form
    30,471.64/45,704.58 = 9,691.48/x
  3. Step 3: Cross multiply
    30,471.64x = 45,704.58 × 9,691.48
  4. Step 4: Simplify right side
    30,471.64x = 442,945,022.98
  5. Step 5: Solve for x
    x = 442,945,022.98/30,471.64
  6. Step 6: Final answer
    x = 14,536.30

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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.