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Finding the Fourth Proportional to 12,492.64, 17,239.26 and 6,827.68

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Solution

The fourth proportional to 12,492.64, 17,239.26 and 6,827.68 is: 9,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,492.64 : 17,239.26 = 6,827.68 : x
  2. Step 2: Convert to fraction form
    12,492.64/17,239.26 = 6,827.68/x
  3. Step 3: Cross multiply
    12,492.64x = 17,239.26 × 6,827.68
  4. Step 4: Simplify right side
    12,492.64x = 117,704,150.72
  5. Step 5: Solve for x
    x = 117,704,150.72/12,492.64
  6. Step 6: Final answer
    x = 9,421.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.