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Finding the Fourth Proportional to 7,728.94, 11,598.14 and 7,101.60

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Solution

The fourth proportional to 7,728.94, 11,598.14 and 7,101.60 is: 10,656.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.94 : 11,598.14 = 7,101.60 : x
  2. Step 2: Convert to fraction form
    7,728.94/11,598.14 = 7,101.60/x
  3. Step 3: Cross multiply
    7,728.94x = 11,598.14 × 7,101.60
  4. Step 4: Simplify right side
    7,728.94x = 82,365,351.02
  5. Step 5: Solve for x
    x = 82,365,351.02/7,728.94
  6. Step 6: Final answer
    x = 10,656.75

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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.