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Finding the Fourth Proportional to 13,675.97, 18,874.62 and 7,709.51

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Solution

The fourth proportional to 13,675.97, 18,874.62 and 7,709.51 is: 10,640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.97 : 18,874.62 = 7,709.51 : x
  2. Step 2: Convert to fraction form
    13,675.97/18,874.62 = 7,709.51/x
  3. Step 3: Cross multiply
    13,675.97x = 18,874.62 × 7,709.51
  4. Step 4: Simplify right side
    13,675.97x = 145,514,118.82
  5. Step 5: Solve for x
    x = 145,514,118.82/13,675.97
  6. Step 6: Final answer
    x = 10,640.13

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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.