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Finding the Fourth Proportional to 7,872.80, 11,806.40 and 3,482.40

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Solution

The fourth proportional to 7,872.80, 11,806.40 and 3,482.40 is: 5,222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.80 : 11,806.40 = 3,482.40 : x
  2. Step 2: Convert to fraction form
    7,872.80/11,806.40 = 3,482.40/x
  3. Step 3: Cross multiply
    7,872.80x = 11,806.40 × 3,482.40
  4. Step 4: Simplify right side
    7,872.80x = 41,114,607.36
  5. Step 5: Solve for x
    x = 41,114,607.36/7,872.80
  6. Step 6: Final answer
    x = 5,222.36

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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.