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Finding the Fourth Proportional to 7,784.32, 11,597.81 and 7,412.80

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Solution

The fourth proportional to 7,784.32, 11,597.81 and 7,412.80 is: 11,044.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.32 : 11,597.81 = 7,412.80 : x
  2. Step 2: Convert to fraction form
    7,784.32/11,597.81 = 7,412.80/x
  3. Step 3: Cross multiply
    7,784.32x = 11,597.81 × 7,412.80
  4. Step 4: Simplify right side
    7,784.32x = 85,972,245.97
  5. Step 5: Solve for x
    x = 85,972,245.97/7,784.32
  6. Step 6: Final answer
    x = 11,044.28

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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.