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Finding the Fourth Proportional to 12,491.64, 18,731.97 and 6,646.86

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Solution

The fourth proportional to 12,491.64, 18,731.97 and 6,646.86 is: 9,967.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.64 : 18,731.97 = 6,646.86 : x
  2. Step 2: Convert to fraction form
    12,491.64/18,731.97 = 6,646.86/x
  3. Step 3: Cross multiply
    12,491.64x = 18,731.97 × 6,646.86
  4. Step 4: Simplify right side
    12,491.64x = 124,508,782.11
  5. Step 5: Solve for x
    x = 124,508,782.11/12,491.64
  6. Step 6: Final answer
    x = 9,967.37

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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.