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Finding the Fourth Proportional to 7,797.81, 11,699.73 and 3,415.89

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Solution

The fourth proportional to 7,797.81, 11,699.73 and 3,415.89 is: 5,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.81 : 11,699.73 = 3,415.89 : x
  2. Step 2: Convert to fraction form
    7,797.81/11,699.73 = 3,415.89/x
  3. Step 3: Cross multiply
    7,797.81x = 11,699.73 × 3,415.89
  4. Step 4: Simplify right side
    7,797.81x = 39,964,990.71
  5. Step 5: Solve for x
    x = 39,964,990.71/7,797.81
  6. Step 6: Final answer
    x = 5,125.16

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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.