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Finding the Fourth Proportional to 10,862.76, 16,271.46 and 6,947.28

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Solution

The fourth proportional to 10,862.76, 16,271.46 and 6,947.28 is: 10,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.76 : 16,271.46 = 6,947.28 : x
  2. Step 2: Convert to fraction form
    10,862.76/16,271.46 = 6,947.28/x
  3. Step 3: Cross multiply
    10,862.76x = 16,271.46 × 6,947.28
  4. Step 4: Simplify right side
    10,862.76x = 113,042,388.63
  5. Step 5: Solve for x
    x = 113,042,388.63/10,862.76
  6. Step 6: Final answer
    x = 10,406.42

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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.