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Finding the Fourth Proportional to 13,994.16, 20,972.88 and 7,406.40

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Solution

The fourth proportional to 13,994.16, 20,972.88 and 7,406.40 is: 11,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,994.16 : 20,972.88 = 7,406.40 : x
  2. Step 2: Convert to fraction form
    13,994.16/20,972.88 = 7,406.40/x
  3. Step 3: Cross multiply
    13,994.16x = 20,972.88 × 7,406.40
  4. Step 4: Simplify right side
    13,994.16x = 155,333,538.43
  5. Step 5: Solve for x
    x = 155,333,538.43/13,994.16
  6. Step 6: Final answer
    x = 11,099.88

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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.