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Finding the Fourth Proportional to 13,649.97, 18,830.66 and 9,867.14

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Solution

The fourth proportional to 13,649.97, 18,830.66 and 9,867.14 is: 13,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.97 : 18,830.66 = 9,867.14 : x
  2. Step 2: Convert to fraction form
    13,649.97/18,830.66 = 9,867.14/x
  3. Step 3: Cross multiply
    13,649.97x = 18,830.66 × 9,867.14
  4. Step 4: Simplify right side
    13,649.97x = 185,804,664.36
  5. Step 5: Solve for x
    x = 185,804,664.36/13,649.97
  6. Step 6: Final answer
    x = 13,612.09

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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.