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Finding the Fourth Proportional to 7,807.68, 11,704.92 and 3,645.48

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Solution

The fourth proportional to 7,807.68, 11,704.92 and 3,645.48 is: 5,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.68 : 11,704.92 = 3,645.48 : x
  2. Step 2: Convert to fraction form
    7,807.68/11,704.92 = 3,645.48/x
  3. Step 3: Cross multiply
    7,807.68x = 11,704.92 × 3,645.48
  4. Step 4: Simplify right side
    7,807.68x = 42,670,051.76
  5. Step 5: Solve for x
    x = 42,670,051.76/7,807.68
  6. Step 6: Final answer
    x = 5,465.14

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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.