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Finding the Fourth Proportional to 12,127.68, 16,736.64 and 7,412.16

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Solution

The fourth proportional to 12,127.68, 16,736.64 and 7,412.16 is: 10,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,127.68 : 16,736.64 = 7,412.16 : x
  2. Step 2: Convert to fraction form
    12,127.68/16,736.64 = 7,412.16/x
  3. Step 3: Cross multiply
    12,127.68x = 16,736.64 × 7,412.16
  4. Step 4: Simplify right side
    12,127.68x = 124,054,653.54
  5. Step 5: Solve for x
    x = 124,054,653.54/12,127.68
  6. Step 6: Final answer
    x = 10,229.05

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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.