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Finding the Fourth Proportional to 12,894.66, 17,678.75 and 12,661.38

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Solution

The fourth proportional to 12,894.66, 17,678.75 and 12,661.38 is: 17,358.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.66 : 17,678.75 = 12,661.38 : x
  2. Step 2: Convert to fraction form
    12,894.66/17,678.75 = 12,661.38/x
  3. Step 3: Cross multiply
    12,894.66x = 17,678.75 × 12,661.38
  4. Step 4: Simplify right side
    12,894.66x = 223,837,308.37
  5. Step 5: Solve for x
    x = 223,837,308.37/12,894.66
  6. Step 6: Final answer
    x = 17,358.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.