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Finding the Fourth Proportional to 7,221.64, 9,970.16 and 4,571.32

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Solution

The fourth proportional to 7,221.64, 9,970.16 and 4,571.32 is: 6,311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.64 : 9,970.16 = 4,571.32 : x
  2. Step 2: Convert to fraction form
    7,221.64/9,970.16 = 4,571.32/x
  3. Step 3: Cross multiply
    7,221.64x = 9,970.16 × 4,571.32
  4. Step 4: Simplify right side
    7,221.64x = 45,576,791.81
  5. Step 5: Solve for x
    x = 45,576,791.81/7,221.64
  6. Step 6: Final answer
    x = 6,311.14

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