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Finding the Fourth Proportional to 8,907.65, 12,287.20 and 5,882.80

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Solution

The fourth proportional to 8,907.65, 12,287.20 and 5,882.80 is: 8,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,907.65 : 12,287.20 = 5,882.80 : x
  2. Step 2: Convert to fraction form
    8,907.65/12,287.20 = 5,882.80/x
  3. Step 3: Cross multiply
    8,907.65x = 12,287.20 × 5,882.80
  4. Step 4: Simplify right side
    8,907.65x = 72,283,049.31
  5. Step 5: Solve for x
    x = 72,283,049.31/8,907.65
  6. Step 6: Final answer
    x = 8,114.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.