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Finding the Fourth Proportional to 7,679.88, 11,523.06 and 3,784.32

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Solution

The fourth proportional to 7,679.88, 11,523.06 and 3,784.32 is: 5,678.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.88 : 11,523.06 = 3,784.32 : x
  2. Step 2: Convert to fraction form
    7,679.88/11,523.06 = 3,784.32/x
  3. Step 3: Cross multiply
    7,679.88x = 11,523.06 × 3,784.32
  4. Step 4: Simplify right side
    7,679.88x = 43,606,946.42
  5. Step 5: Solve for x
    x = 43,606,946.42/7,679.88
  6. Step 6: Final answer
    x = 5,678.08

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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.