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Finding the Fourth Proportional to 6,580.89, 9,078.53 and 3,890.30

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Solution

The fourth proportional to 6,580.89, 9,078.53 and 3,890.30 is: 5,366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.89 : 9,078.53 = 3,890.30 : x
  2. Step 2: Convert to fraction form
    6,580.89/9,078.53 = 3,890.30/x
  3. Step 3: Cross multiply
    6,580.89x = 9,078.53 × 3,890.30
  4. Step 4: Simplify right side
    6,580.89x = 35,318,140.41
  5. Step 5: Solve for x
    x = 35,318,140.41/6,580.89
  6. Step 6: Final answer
    x = 5,366.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.