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Finding the Fourth Proportional to 12,497.72, 18,731.90 and 6,949.72

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Solution

The fourth proportional to 12,497.72, 18,731.90 and 6,949.72 is: 10,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.72 : 18,731.90 = 6,949.72 : x
  2. Step 2: Convert to fraction form
    12,497.72/18,731.90 = 6,949.72/x
  3. Step 3: Cross multiply
    12,497.72x = 18,731.90 × 6,949.72
  4. Step 4: Simplify right side
    12,497.72x = 130,181,460.07
  5. Step 5: Solve for x
    x = 130,181,460.07/12,497.72
  6. Step 6: Final answer
    x = 10,416.42

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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.