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Finding the Fourth Proportional to 10,843.20, 16,264.80 and 3,916.32

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Solution

The fourth proportional to 10,843.20, 16,264.80 and 3,916.32 is: 5,874.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.20 : 16,264.80 = 3,916.32 : x
  2. Step 2: Convert to fraction form
    10,843.20/16,264.80 = 3,916.32/x
  3. Step 3: Cross multiply
    10,843.20x = 16,264.80 × 3,916.32
  4. Step 4: Simplify right side
    10,843.20x = 63,698,161.54
  5. Step 5: Solve for x
    x = 63,698,161.54/10,843.20
  6. Step 6: Final answer
    x = 5,874.48

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1.5x scale

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.