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Finding the Fourth Proportional to 10,830, 16,245.81 and 6,148.20

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Solution

The fourth proportional to 10,830, 16,245.81 and 6,148.20 is: 9,222.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830 : 16,245.81 = 6,148.20 : x
  2. Step 2: Convert to fraction form
    10,830/16,245.81 = 6,148.20/x
  3. Step 3: Cross multiply
    10,830x = 16,245.81 × 6,148.20
  4. Step 4: Simplify right side
    10,830x = 99,882,489.04
  5. Step 5: Solve for x
    x = 99,882,489.04/10,830
  6. Step 6: Final answer
    x = 9,222.76

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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.