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Finding the Fourth Proportional to 13,679.16, 20,506.32 and 7,097.64

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Solution

The fourth proportional to 13,679.16, 20,506.32 and 7,097.64 is: 10,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,679.16 : 20,506.32 = 7,097.64 : x
  2. Step 2: Convert to fraction form
    13,679.16/20,506.32 = 7,097.64/x
  3. Step 3: Cross multiply
    13,679.16x = 20,506.32 × 7,097.64
  4. Step 4: Simplify right side
    13,679.16x = 145,546,477.08
  5. Step 5: Solve for x
    x = 145,546,477.08/13,679.16
  6. Step 6: Final answer
    x = 10,640.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.