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Finding the Fourth Proportional to 12,662.40, 18,983.70 and 7,731.12

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Solution

The fourth proportional to 12,662.40, 18,983.70 and 7,731.12 is: 11,590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.40 : 18,983.70 = 7,731.12 : x
  2. Step 2: Convert to fraction form
    12,662.40/18,983.70 = 7,731.12/x
  3. Step 3: Cross multiply
    12,662.40x = 18,983.70 × 7,731.12
  4. Step 4: Simplify right side
    12,662.40x = 146,765,262.74
  5. Step 5: Solve for x
    x = 146,765,262.74/12,662.40
  6. Step 6: Final answer
    x = 11,590.64

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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.