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Finding the Fourth Proportional to 6,786.84, 10,171.80 and 3,088.08

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Solution

The fourth proportional to 6,786.84, 10,171.80 and 3,088.08 is: 4,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.84 : 10,171.80 = 3,088.08 : x
  2. Step 2: Convert to fraction form
    6,786.84/10,171.80 = 3,088.08/x
  3. Step 3: Cross multiply
    6,786.84x = 10,171.80 × 3,088.08
  4. Step 4: Simplify right side
    6,786.84x = 31,411,332.14
  5. Step 5: Solve for x
    x = 31,411,332.14/6,786.84
  6. Step 6: Final answer
    x = 4,628.27

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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.