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Finding the Fourth Proportional to 11,216.46, 15,478.90 and 6,180.98

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Solution

The fourth proportional to 11,216.46, 15,478.90 and 6,180.98 is: 8,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.46 : 15,478.90 = 6,180.98 : x
  2. Step 2: Convert to fraction form
    11,216.46/15,478.90 = 6,180.98/x
  3. Step 3: Cross multiply
    11,216.46x = 15,478.90 × 6,180.98
  4. Step 4: Simplify right side
    11,216.46x = 95,674,678.48
  5. Step 5: Solve for x
    x = 95,674,678.48/11,216.46
  6. Step 6: Final answer
    x = 8,529.85

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