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Finding the Fourth Proportional to 7,757.44, 11,549.60 and 7,308.16

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Solution

The fourth proportional to 7,757.44, 11,549.60 and 7,308.16 is: 10,880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.44 : 11,549.60 = 7,308.16 : x
  2. Step 2: Convert to fraction form
    7,757.44/11,549.60 = 7,308.16/x
  3. Step 3: Cross multiply
    7,757.44x = 11,549.60 × 7,308.16
  4. Step 4: Simplify right side
    7,757.44x = 84,406,324.74
  5. Step 5: Solve for x
    x = 84,406,324.74/7,757.44
  6. Step 6: Final answer
    x = 10,880.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.