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Finding the Fourth Proportional to 8,536.32, 12,804.48 and 4,377.60

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Solution

The fourth proportional to 8,536.32, 12,804.48 and 4,377.60 is: 6,566.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.32 : 12,804.48 = 4,377.60 : x
  2. Step 2: Convert to fraction form
    8,536.32/12,804.48 = 4,377.60/x
  3. Step 3: Cross multiply
    8,536.32x = 12,804.48 × 4,377.60
  4. Step 4: Simplify right side
    8,536.32x = 56,052,891.65
  5. Step 5: Solve for x
    x = 56,052,891.65/8,536.32
  6. Step 6: Final answer
    x = 6,566.40

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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.