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Finding the Fourth Proportional to 7,757.45, 11,636.05 and 1,914.06

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Solution

The fourth proportional to 7,757.45, 11,636.05 and 1,914.06 is: 2,871.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.45 : 11,636.05 = 1,914.06 : x
  2. Step 2: Convert to fraction form
    7,757.45/11,636.05 = 1,914.06/x
  3. Step 3: Cross multiply
    7,757.45x = 11,636.05 × 1,914.06
  4. Step 4: Simplify right side
    7,757.45x = 22,272,097.86
  5. Step 5: Solve for x
    x = 22,272,097.86/7,757.45
  6. Step 6: Final answer
    x = 2,871.06

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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.