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Finding the Fourth Proportional to 17,970.40, 26,942.80 and 6,872.80

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Solution

The fourth proportional to 17,970.40, 26,942.80 and 6,872.80 is: 10,304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,970.40 : 26,942.80 = 6,872.80 : x
  2. Step 2: Convert to fraction form
    17,970.40/26,942.80 = 6,872.80/x
  3. Step 3: Cross multiply
    17,970.40x = 26,942.80 × 6,872.80
  4. Step 4: Simplify right side
    17,970.40x = 185,172,475.84
  5. Step 5: Solve for x
    x = 185,172,475.84/17,970.40
  6. Step 6: Final answer
    x = 10,304.30

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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.