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Finding the Fourth Proportional to 20,322.64, 30,461.72 and 10,462.46

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Solution

The fourth proportional to 20,322.64, 30,461.72 and 10,462.46 is: 15,682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,322.64 : 30,461.72 = 10,462.46 : x
  2. Step 2: Convert to fraction form
    20,322.64/30,461.72 = 10,462.46/x
  3. Step 3: Cross multiply
    20,322.64x = 30,461.72 × 10,462.46
  4. Step 4: Simplify right side
    20,322.64x = 318,704,550.87
  5. Step 5: Solve for x
    x = 318,704,550.87/20,322.64
  6. Step 6: Final answer
    x = 15,682.24

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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.