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Finding the Fourth Proportional to 7,728.10, 10,664.78 and 4,191.28

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Solution

The fourth proportional to 7,728.10, 10,664.78 and 4,191.28 is: 5,783.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.10 : 10,664.78 = 4,191.28 : x
  2. Step 2: Convert to fraction form
    7,728.10/10,664.78 = 4,191.28/x
  3. Step 3: Cross multiply
    7,728.10x = 10,664.78 × 4,191.28
  4. Step 4: Simplify right side
    7,728.10x = 44,699,079.12
  5. Step 5: Solve for x
    x = 44,699,079.12/7,728.10
  6. Step 6: Final answer
    x = 5,783.97

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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.