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Finding the Fourth Proportional to 5,878.32, 8,819.64 and 4,236.72

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Solution

The fourth proportional to 5,878.32, 8,819.64 and 4,236.72 is: 6,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.32 : 8,819.64 = 4,236.72 : x
  2. Step 2: Convert to fraction form
    5,878.32/8,819.64 = 4,236.72/x
  3. Step 3: Cross multiply
    5,878.32x = 8,819.64 × 4,236.72
  4. Step 4: Simplify right side
    5,878.32x = 37,366,345.18
  5. Step 5: Solve for x
    x = 37,366,345.18/5,878.32
  6. Step 6: Final answer
    x = 6,356.64

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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.