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Finding the Fourth Proportional to 30,359.16, 45,559.32 and 10,638

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Solution

The fourth proportional to 30,359.16, 45,559.32 and 10,638 is: 15,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,359.16 : 45,559.32 = 10,638 : x
  2. Step 2: Convert to fraction form
    30,359.16/45,559.32 = 10,638/x
  3. Step 3: Cross multiply
    30,359.16x = 45,559.32 × 10,638
  4. Step 4: Simplify right side
    30,359.16x = 484,660,046.16
  5. Step 5: Solve for x
    x = 484,660,046.16/30,359.16
  6. Step 6: Final answer
    x = 15,964.21

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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.