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Finding the Fourth Proportional to 30,505.50, 45,760.68 and 9,729

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Solution

The fourth proportional to 30,505.50, 45,760.68 and 9,729 is: 14,594.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,505.50 : 45,760.68 = 9,729 : x
  2. Step 2: Convert to fraction form
    30,505.50/45,760.68 = 9,729/x
  3. Step 3: Cross multiply
    30,505.50x = 45,760.68 × 9,729
  4. Step 4: Simplify right side
    30,505.50x = 445,205,655.72
  5. Step 5: Solve for x
    x = 445,205,655.72/30,505.50
  6. Step 6: Final answer
    x = 14,594.27

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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.