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Finding the Fourth Proportional to 7,800.64, 11,694.47 and 5,453.93

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Solution

The fourth proportional to 7,800.64, 11,694.47 and 5,453.93 is: 8,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.64 : 11,694.47 = 5,453.93 : x
  2. Step 2: Convert to fraction form
    7,800.64/11,694.47 = 5,453.93/x
  3. Step 3: Cross multiply
    7,800.64x = 11,694.47 × 5,453.93
  4. Step 4: Simplify right side
    7,800.64x = 63,780,820.77
  5. Step 5: Solve for x
    x = 63,780,820.77/7,800.64
  6. Step 6: Final answer
    x = 8,176.36

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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.