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Finding the Fourth Proportional to 8,467.76, 12,699.60 and 2,543.40

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Solution

The fourth proportional to 8,467.76, 12,699.60 and 2,543.40 is: 3,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.76 : 12,699.60 = 2,543.40 : x
  2. Step 2: Convert to fraction form
    8,467.76/12,699.60 = 2,543.40/x
  3. Step 3: Cross multiply
    8,467.76x = 12,699.60 × 2,543.40
  4. Step 4: Simplify right side
    8,467.76x = 32,300,162.64
  5. Step 5: Solve for x
    x = 32,300,162.64/8,467.76
  6. Step 6: Final answer
    x = 3,814.49

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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.