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Finding the Fourth Proportional to 13,980.11, 20,966.04 and 4,117.03

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Solution

The fourth proportional to 13,980.11, 20,966.04 and 4,117.03 is: 6,174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.11 : 20,966.04 = 4,117.03 : x
  2. Step 2: Convert to fraction form
    13,980.11/20,966.04 = 4,117.03/x
  3. Step 3: Cross multiply
    13,980.11x = 20,966.04 × 4,117.03
  4. Step 4: Simplify right side
    13,980.11x = 86,317,763.25
  5. Step 5: Solve for x
    x = 86,317,763.25/13,980.11
  6. Step 6: Final answer
    x = 6,174.33

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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.