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Finding the Fourth Proportional to 6,652.43, 9,978.74 and 3,188.87

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Solution

The fourth proportional to 6,652.43, 9,978.74 and 3,188.87 is: 4,783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.43 : 9,978.74 = 3,188.87 : x
  2. Step 2: Convert to fraction form
    6,652.43/9,978.74 = 3,188.87/x
  3. Step 3: Cross multiply
    6,652.43x = 9,978.74 × 3,188.87
  4. Step 4: Simplify right side
    6,652.43x = 31,820,888.68
  5. Step 5: Solve for x
    x = 31,820,888.68/6,652.43
  6. Step 6: Final answer
    x = 4,783.35

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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.