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Finding the Fourth Proportional to 7,864.53, 11,800.90 and 3,188.00

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Solution

The fourth proportional to 7,864.53, 11,800.90 and 3,188.00 is: 4,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.53 : 11,800.90 = 3,188.00 : x
  2. Step 2: Convert to fraction form
    7,864.53/11,800.90 = 3,188.00/x
  3. Step 3: Cross multiply
    7,864.53x = 11,800.90 × 3,188.00
  4. Step 4: Simplify right side
    7,864.53x = 37,621,236.31
  5. Step 5: Solve for x
    x = 37,621,236.31/7,864.53
  6. Step 6: Final answer
    x = 4,783.66

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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.