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Finding the Fourth Proportional to 7,756.54, 11,634.60 and 1,913.20

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Solution

The fourth proportional to 7,756.54, 11,634.60 and 1,913.20 is: 2,869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.54 : 11,634.60 = 1,913.20 : x
  2. Step 2: Convert to fraction form
    7,756.54/11,634.60 = 1,913.20/x
  3. Step 3: Cross multiply
    7,756.54x = 11,634.60 × 1,913.20
  4. Step 4: Simplify right side
    7,756.54x = 22,259,316.72
  5. Step 5: Solve for x
    x = 22,259,316.72/7,756.54
  6. Step 6: Final answer
    x = 2,869.75

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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.