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Finding the Fourth Proportional to 6,551.71, 9,826.88 and 1,871.41

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Solution

The fourth proportional to 6,551.71, 9,826.88 and 1,871.41 is: 2,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.71 : 9,826.88 = 1,871.41 : x
  2. Step 2: Convert to fraction form
    6,551.71/9,826.88 = 1,871.41/x
  3. Step 3: Cross multiply
    6,551.71x = 9,826.88 × 1,871.41
  4. Step 4: Simplify right side
    6,551.71x = 18,390,112.14
  5. Step 5: Solve for x
    x = 18,390,112.14/6,551.71
  6. Step 6: Final answer
    x = 2,806.92

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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.