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Finding the Fourth Proportional to 7,281.65, 10,922.49 and 2,899.08

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Solution

The fourth proportional to 7,281.65, 10,922.49 and 2,899.08 is: 4,348.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.65 : 10,922.49 = 2,899.08 : x
  2. Step 2: Convert to fraction form
    7,281.65/10,922.49 = 2,899.08/x
  3. Step 3: Cross multiply
    7,281.65x = 10,922.49 × 2,899.08
  4. Step 4: Simplify right side
    7,281.65x = 31,665,172.31
  5. Step 5: Solve for x
    x = 31,665,172.31/7,281.65
  6. Step 6: Final answer
    x = 4,348.63

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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.