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Finding the Fourth Proportional to 13,980.94, 20,956.25 and 6,966.19

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Solution

The fourth proportional to 13,980.94, 20,956.25 and 6,966.19 is: 10,441.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.94 : 20,956.25 = 6,966.19 : x
  2. Step 2: Convert to fraction form
    13,980.94/20,956.25 = 6,966.19/x
  3. Step 3: Cross multiply
    13,980.94x = 20,956.25 × 6,966.19
  4. Step 4: Simplify right side
    13,980.94x = 145,985,219.19
  5. Step 5: Solve for x
    x = 145,985,219.19/13,980.94
  6. Step 6: Final answer
    x = 10,441.73

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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.