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Finding the Fourth Proportional to 11,213.77, 15,474.80 and 6,178.45

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Solution

The fourth proportional to 11,213.77, 15,474.80 and 6,178.45 is: 8,526.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213.77 : 15,474.80 = 6,178.45 : x
  2. Step 2: Convert to fraction form
    11,213.77/15,474.80 = 6,178.45/x
  3. Step 3: Cross multiply
    11,213.77x = 15,474.80 × 6,178.45
  4. Step 4: Simplify right side
    11,213.77x = 95,610,292.60
  5. Step 5: Solve for x
    x = 95,610,292.60/11,213.77
  6. Step 6: Final answer
    x = 8,526.15

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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.