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Finding the Fourth Proportional to 9,780, 14,660.28 and 4,576.56

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Solution

The fourth proportional to 9,780, 14,660.28 and 4,576.56 is: 6,860.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780 : 14,660.28 = 4,576.56 : x
  2. Step 2: Convert to fraction form
    9,780/14,660.28 = 4,576.56/x
  3. Step 3: Cross multiply
    9,780x = 14,660.28 × 4,576.56
  4. Step 4: Simplify right side
    9,780x = 67,093,651.04
  5. Step 5: Solve for x
    x = 67,093,651.04/9,780
  6. Step 6: Final answer
    x = 6,860.29

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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.