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Finding the Fourth Proportional to 7,842.64, 11,764.32 and 5,544.40

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Solution

The fourth proportional to 7,842.64, 11,764.32 and 5,544.40 is: 8,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.64 : 11,764.32 = 5,544.40 : x
  2. Step 2: Convert to fraction form
    7,842.64/11,764.32 = 5,544.40/x
  3. Step 3: Cross multiply
    7,842.64x = 11,764.32 × 5,544.40
  4. Step 4: Simplify right side
    7,842.64x = 65,226,095.81
  5. Step 5: Solve for x
    x = 65,226,095.81/7,842.64
  6. Step 6: Final answer
    x = 8,316.85

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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.