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Finding the Fourth Proportional to 7,001.28, 10,440 and 6,524.64

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Solution

The fourth proportional to 7,001.28, 10,440 and 6,524.64 is: 9,729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.28 : 10,440 = 6,524.64 : x
  2. Step 2: Convert to fraction form
    7,001.28/10,440 = 6,524.64/x
  3. Step 3: Cross multiply
    7,001.28x = 10,440 × 6,524.64
  4. Step 4: Simplify right side
    7,001.28x = 68,117,241.60
  5. Step 5: Solve for x
    x = 68,117,241.60/7,001.28
  6. Step 6: Final answer
    x = 9,729.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.