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Finding the Fourth Proportional to 13,664.64, 18,857.01 and 7,696.38

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Solution

The fourth proportional to 13,664.64, 18,857.01 and 7,696.38 is: 10,620.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.64 : 18,857.01 = 7,696.38 : x
  2. Step 2: Convert to fraction form
    13,664.64/18,857.01 = 7,696.38/x
  3. Step 3: Cross multiply
    13,664.64x = 18,857.01 × 7,696.38
  4. Step 4: Simplify right side
    13,664.64x = 145,130,714.62
  5. Step 5: Solve for x
    x = 145,130,714.62/13,664.64
  6. Step 6: Final answer
    x = 10,620.90

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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.