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Finding the Fourth Proportional to 12,491.52, 18,731.78 and 6,646.74

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Solution

The fourth proportional to 12,491.52, 18,731.78 and 6,646.74 is: 9,967.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.52 : 18,731.78 = 6,646.74 : x
  2. Step 2: Convert to fraction form
    12,491.52/18,731.78 = 6,646.74/x
  3. Step 3: Cross multiply
    12,491.52x = 18,731.78 × 6,646.74
  4. Step 4: Simplify right side
    12,491.52x = 124,505,194.36
  5. Step 5: Solve for x
    x = 124,505,194.36/12,491.52
  6. Step 6: Final answer
    x = 9,967.18

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1.5x scale

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.