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Finding the Fourth Proportional to 13,722.51, 18,924.84 and 10,698.38

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Solution

The fourth proportional to 13,722.51, 18,924.84 and 10,698.38 is: 14,754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.51 : 18,924.84 = 10,698.38 : x
  2. Step 2: Convert to fraction form
    13,722.51/18,924.84 = 10,698.38/x
  3. Step 3: Cross multiply
    13,722.51x = 18,924.84 × 10,698.38
  4. Step 4: Simplify right side
    13,722.51x = 202,465,106.10
  5. Step 5: Solve for x
    x = 202,465,106.10/13,722.51
  6. Step 6: Final answer
    x = 14,754.23

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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.