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Finding the Fourth Proportional to 8,643.59, 12,962.12 and 2,798.63

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Solution

The fourth proportional to 8,643.59, 12,962.12 and 2,798.63 is: 4,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.59 : 12,962.12 = 2,798.63 : x
  2. Step 2: Convert to fraction form
    8,643.59/12,962.12 = 2,798.63/x
  3. Step 3: Cross multiply
    8,643.59x = 12,962.12 × 2,798.63
  4. Step 4: Simplify right side
    8,643.59x = 36,276,099.09
  5. Step 5: Solve for x
    x = 36,276,099.09/8,643.59
  6. Step 6: Final answer
    x = 4,196.88

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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.