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Finding the Fourth Proportional to 6,390.89, 9,584 and 2,229.72

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Solution

The fourth proportional to 6,390.89, 9,584 and 2,229.72 is: 3,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.89 : 9,584 = 2,229.72 : x
  2. Step 2: Convert to fraction form
    6,390.89/9,584 = 2,229.72/x
  3. Step 3: Cross multiply
    6,390.89x = 9,584 × 2,229.72
  4. Step 4: Simplify right side
    6,390.89x = 21,369,636.48
  5. Step 5: Solve for x
    x = 21,369,636.48/6,390.89
  6. Step 6: Final answer
    x = 3,343.77

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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.