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Finding the Fourth Proportional to 7,021.71, 9,689.94 and 3,877.88

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Solution

The fourth proportional to 7,021.71, 9,689.94 and 3,877.88 is: 5,351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,021.71 : 9,689.94 = 3,877.88 : x
  2. Step 2: Convert to fraction form
    7,021.71/9,689.94 = 3,877.88/x
  3. Step 3: Cross multiply
    7,021.71x = 9,689.94 × 3,877.88
  4. Step 4: Simplify right side
    7,021.71x = 37,576,376.08
  5. Step 5: Solve for x
    x = 37,576,376.08/7,021.71
  6. Step 6: Final answer
    x = 5,351.46

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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.