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Finding the Fourth Proportional to 9,287.96, 13,907.03 and 7,811.73

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Solution

The fourth proportional to 9,287.96, 13,907.03 and 7,811.73 is: 11,696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.96 : 13,907.03 = 7,811.73 : x
  2. Step 2: Convert to fraction form
    9,287.96/13,907.03 = 7,811.73/x
  3. Step 3: Cross multiply
    9,287.96x = 13,907.03 × 7,811.73
  4. Step 4: Simplify right side
    9,287.96x = 108,637,924.40
  5. Step 5: Solve for x
    x = 108,637,924.40/9,287.96
  6. Step 6: Final answer
    x = 11,696.65

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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.