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Finding the Fourth Proportional to 7,728.24, 10,664.94 and 4,191.44

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Solution

The fourth proportional to 7,728.24, 10,664.94 and 4,191.44 is: 5,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.24 : 10,664.94 = 4,191.44 : x
  2. Step 2: Convert to fraction form
    7,728.24/10,664.94 = 4,191.44/x
  3. Step 3: Cross multiply
    7,728.24x = 10,664.94 × 4,191.44
  4. Step 4: Simplify right side
    7,728.24x = 44,701,456.11
  5. Step 5: Solve for x
    x = 44,701,456.11/7,728.24
  6. Step 6: Final answer
    x = 5,784.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.