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Finding the Fourth Proportional to 6,711.49, 9,259.69 and 3,878.50

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Solution

The fourth proportional to 6,711.49, 9,259.69 and 3,878.50 is: 5,351.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.49 : 9,259.69 = 3,878.50 : x
  2. Step 2: Convert to fraction form
    6,711.49/9,259.69 = 3,878.50/x
  3. Step 3: Cross multiply
    6,711.49x = 9,259.69 × 3,878.50
  4. Step 4: Simplify right side
    6,711.49x = 35,913,707.67
  5. Step 5: Solve for x
    x = 35,913,707.67/6,711.49
  6. Step 6: Final answer
    x = 5,351.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.