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Finding the Fourth Proportional to 6,891.81, 9,510.64 and 3,747.99

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Solution

The fourth proportional to 6,891.81, 9,510.64 and 3,747.99 is: 5,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.81 : 9,510.64 = 3,747.99 : x
  2. Step 2: Convert to fraction form
    6,891.81/9,510.64 = 3,747.99/x
  3. Step 3: Cross multiply
    6,891.81x = 9,510.64 × 3,747.99
  4. Step 4: Simplify right side
    6,891.81x = 35,645,783.61
  5. Step 5: Solve for x
    x = 35,645,783.61/6,891.81
  6. Step 6: Final answer
    x = 5,172.19

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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.