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Finding the Fourth Proportional to 13,767.04, 18,998 and 7,479.20

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Solution

The fourth proportional to 13,767.04, 18,998 and 7,479.20 is: 10,321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.04 : 18,998 = 7,479.20 : x
  2. Step 2: Convert to fraction form
    13,767.04/18,998 = 7,479.20/x
  3. Step 3: Cross multiply
    13,767.04x = 18,998 × 7,479.20
  4. Step 4: Simplify right side
    13,767.04x = 142,089,841.60
  5. Step 5: Solve for x
    x = 142,089,841.60/13,767.04
  6. Step 6: Final answer
    x = 10,321.02

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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.