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Finding the Fourth Proportional to 13,767, 18,998.46 and 7,479.51

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Solution

The fourth proportional to 13,767, 18,998.46 and 7,479.51 is: 10,321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767 : 18,998.46 = 7,479.51 : x
  2. Step 2: Convert to fraction form
    13,767/18,998.46 = 7,479.51/x
  3. Step 3: Cross multiply
    13,767x = 18,998.46 × 7,479.51
  4. Step 4: Simplify right side
    13,767x = 142,099,171.55
  5. Step 5: Solve for x
    x = 142,099,171.55/13,767
  6. Step 6: Final answer
    x = 10,321.72

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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.