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Finding the Fourth Proportional to 7,807.53, 11,709.47 and 2,259.39

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Solution

The fourth proportional to 7,807.53, 11,709.47 and 2,259.39 is: 3,388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.53 : 11,709.47 = 2,259.39 : x
  2. Step 2: Convert to fraction form
    7,807.53/11,709.47 = 2,259.39/x
  3. Step 3: Cross multiply
    7,807.53x = 11,709.47 × 2,259.39
  4. Step 4: Simplify right side
    7,807.53x = 26,456,308.98
  5. Step 5: Solve for x
    x = 26,456,308.98/7,807.53
  6. Step 6: Final answer
    x = 3,388.56

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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.