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Finding the Fourth Proportional to 5,972.24, 8,972.82 and 5,272.40

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Solution

The fourth proportional to 5,972.24, 8,972.82 and 5,272.40 is: 7,921.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.24 : 8,972.82 = 5,272.40 : x
  2. Step 2: Convert to fraction form
    5,972.24/8,972.82 = 5,272.40/x
  3. Step 3: Cross multiply
    5,972.24x = 8,972.82 × 5,272.40
  4. Step 4: Simplify right side
    5,972.24x = 47,308,296.17
  5. Step 5: Solve for x
    x = 47,308,296.17/5,972.24
  6. Step 6: Final answer
    x = 7,921.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.