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Finding the Fourth Proportional to 4,591.61, 6,890.87 and 2,128.15

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Solution

The fourth proportional to 4,591.61, 6,890.87 and 2,128.15 is: 3,193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.61 : 6,890.87 = 2,128.15 : x
  2. Step 2: Convert to fraction form
    4,591.61/6,890.87 = 2,128.15/x
  3. Step 3: Cross multiply
    4,591.61x = 6,890.87 × 2,128.15
  4. Step 4: Simplify right side
    4,591.61x = 14,664,777.12
  5. Step 5: Solve for x
    x = 14,664,777.12/4,591.61
  6. Step 6: Final answer
    x = 3,193.82

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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.