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Finding the Fourth Proportional to 13,980.92, 20,977.14 and 10,301.72

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Solution

The fourth proportional to 13,980.92, 20,977.14 and 10,301.72 is: 15,456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.92 : 20,977.14 = 10,301.72 : x
  2. Step 2: Convert to fraction form
    13,980.92/20,977.14 = 10,301.72/x
  3. Step 3: Cross multiply
    13,980.92x = 20,977.14 × 10,301.72
  4. Step 4: Simplify right side
    13,980.92x = 216,100,622.68
  5. Step 5: Solve for x
    x = 216,100,622.68/13,980.92
  6. Step 6: Final answer
    x = 15,456.82

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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.