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Finding the Fourth Proportional to 18,846.28, 28,265.10 and 8,461

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Solution

The fourth proportional to 18,846.28, 28,265.10 and 8,461 is: 12,689.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,846.28 : 28,265.10 = 8,461 : x
  2. Step 2: Convert to fraction form
    18,846.28/28,265.10 = 8,461/x
  3. Step 3: Cross multiply
    18,846.28x = 28,265.10 × 8,461
  4. Step 4: Simplify right side
    18,846.28x = 239,151,011.10
  5. Step 5: Solve for x
    x = 239,151,011.10/18,846.28
  6. Step 6: Final answer
    x = 12,689.56

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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.