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Finding the Fourth Proportional to 8,354.32, 12,532.56 and 2,805.28

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Solution

The fourth proportional to 8,354.32, 12,532.56 and 2,805.28 is: 4,208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.32 : 12,532.56 = 2,805.28 : x
  2. Step 2: Convert to fraction form
    8,354.32/12,532.56 = 2,805.28/x
  3. Step 3: Cross multiply
    8,354.32x = 12,532.56 × 2,805.28
  4. Step 4: Simplify right side
    8,354.32x = 35,157,339.92
  5. Step 5: Solve for x
    x = 35,157,339.92/8,354.32
  6. Step 6: Final answer
    x = 4,208.28

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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.