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Finding the Fourth Proportional to 2,970.40, 4,450.80 and 1,872.80

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Solution

The fourth proportional to 2,970.40, 4,450.80 and 1,872.80 is: 2,806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.40 : 4,450.80 = 1,872.80 : x
  2. Step 2: Convert to fraction form
    2,970.40/4,450.80 = 1,872.80/x
  3. Step 3: Cross multiply
    2,970.40x = 4,450.80 × 1,872.80
  4. Step 4: Simplify right side
    2,970.40x = 8,335,458.24
  5. Step 5: Solve for x
    x = 8,335,458.24/2,970.40
  6. Step 6: Final answer
    x = 2,806.17

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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.