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Finding the Fourth Proportional to 13,767.50, 18,999.24 and 7,479.92

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Solution

The fourth proportional to 13,767.50, 18,999.24 and 7,479.92 is: 10,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.50 : 18,999.24 = 7,479.92 : x
  2. Step 2: Convert to fraction form
    13,767.50/18,999.24 = 7,479.92/x
  3. Step 3: Cross multiply
    13,767.50x = 18,999.24 × 7,479.92
  4. Step 4: Simplify right side
    13,767.50x = 142,112,795.26
  5. Step 5: Solve for x
    x = 142,112,795.26/13,767.50
  6. Step 6: Final answer
    x = 10,322.34

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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.