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Finding the Fourth Proportional to 12,646.73, 17,448.62 and 7,340.49

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Solution

The fourth proportional to 12,646.73, 17,448.62 and 7,340.49 is: 10,127.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.73 : 17,448.62 = 7,340.49 : x
  2. Step 2: Convert to fraction form
    12,646.73/17,448.62 = 7,340.49/x
  3. Step 3: Cross multiply
    12,646.73x = 17,448.62 × 7,340.49
  4. Step 4: Simplify right side
    12,646.73x = 128,081,383.92
  5. Step 5: Solve for x
    x = 128,081,383.92/12,646.73
  6. Step 6: Final answer
    x = 10,127.63

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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.