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Finding the Fourth Proportional to 4,051.50, 5,591.07 and 2,188.50

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Solution

The fourth proportional to 4,051.50, 5,591.07 and 2,188.50 is: 3,020.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.50 : 5,591.07 = 2,188.50 : x
  2. Step 2: Convert to fraction form
    4,051.50/5,591.07 = 2,188.50/x
  3. Step 3: Cross multiply
    4,051.50x = 5,591.07 × 2,188.50
  4. Step 4: Simplify right side
    4,051.50x = 12,236,056.70
  5. Step 5: Solve for x
    x = 12,236,056.70/4,051.50
  6. Step 6: Final answer
    x = 3,020.13

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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.