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Finding the Fourth Proportional to 12,287.51, 18,416.68 and 6,743.46

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Solution

The fourth proportional to 12,287.51, 18,416.68 and 6,743.46 is: 10,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.51 : 18,416.68 = 6,743.46 : x
  2. Step 2: Convert to fraction form
    12,287.51/18,416.68 = 6,743.46/x
  3. Step 3: Cross multiply
    12,287.51x = 18,416.68 × 6,743.46
  4. Step 4: Simplify right side
    12,287.51x = 124,192,128.05
  5. Step 5: Solve for x
    x = 124,192,128.05/12,287.51
  6. Step 6: Final answer
    x = 10,107.19

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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.