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Finding the Fourth Proportional to 9,178.32, 13,771.20 and 5,482.56

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Solution

The fourth proportional to 9,178.32, 13,771.20 and 5,482.56 is: 8,226.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.32 : 13,771.20 = 5,482.56 : x
  2. Step 2: Convert to fraction form
    9,178.32/13,771.20 = 5,482.56/x
  3. Step 3: Cross multiply
    9,178.32x = 13,771.20 × 5,482.56
  4. Step 4: Simplify right side
    9,178.32x = 75,501,430.27
  5. Step 5: Solve for x
    x = 75,501,430.27/9,178.32
  6. Step 6: Final answer
    x = 8,226.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.