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Finding the Fourth Proportional to 8,543.63, 12,814.10 and 2,698.94

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Solution

The fourth proportional to 8,543.63, 12,814.10 and 2,698.94 is: 4,047.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.63 : 12,814.10 = 2,698.94 : x
  2. Step 2: Convert to fraction form
    8,543.63/12,814.10 = 2,698.94/x
  3. Step 3: Cross multiply
    8,543.63x = 12,814.10 × 2,698.94
  4. Step 4: Simplify right side
    8,543.63x = 34,584,473.56
  5. Step 5: Solve for x
    x = 34,584,473.56/8,543.63
  6. Step 6: Final answer
    x = 4,047.98

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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.