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Finding the Fourth Proportional to 12,996.96, 17,914.74 and 10,159.32

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Solution

The fourth proportional to 12,996.96, 17,914.74 and 10,159.32 is: 14,003.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,996.96 : 17,914.74 = 10,159.32 : x
  2. Step 2: Convert to fraction form
    12,996.96/17,914.74 = 10,159.32/x
  3. Step 3: Cross multiply
    12,996.96x = 17,914.74 × 10,159.32
  4. Step 4: Simplify right side
    12,996.96x = 182,001,576.38
  5. Step 5: Solve for x
    x = 182,001,576.38/12,996.96
  6. Step 6: Final answer
    x = 14,003.40

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1.5x scale

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.