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Finding the Fourth Proportional to 7,871.82, 10,862.71 and 4,334.37

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Solution

The fourth proportional to 7,871.82, 10,862.71 and 4,334.37 is: 5,981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.82 : 10,862.71 = 4,334.37 : x
  2. Step 2: Convert to fraction form
    7,871.82/10,862.71 = 4,334.37/x
  3. Step 3: Cross multiply
    7,871.82x = 10,862.71 × 4,334.37
  4. Step 4: Simplify right side
    7,871.82x = 47,083,004.34
  5. Step 5: Solve for x
    x = 47,083,004.34/7,871.82
  6. Step 6: Final answer
    x = 5,981.21

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