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Finding the Fourth Proportional to 12,678.10, 17,489.96 and 8,203.31

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Solution

The fourth proportional to 12,678.10, 17,489.96 and 8,203.31 is: 11,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.10 : 17,489.96 = 8,203.31 : x
  2. Step 2: Convert to fraction form
    12,678.10/17,489.96 = 8,203.31/x
  3. Step 3: Cross multiply
    12,678.10x = 17,489.96 × 8,203.31
  4. Step 4: Simplify right side
    12,678.10x = 143,475,531.65
  5. Step 5: Solve for x
    x = 143,475,531.65/12,678.10
  6. Step 6: Final answer
    x = 11,316.80

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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.